The number uses every number 0-9 the numbers are used only once the fourth digit is 4 the first digit in the billions place is 3 the 5 is next to the last digit the sixth digit is 7 the digit after 3 is 9 the digit before 5 is 2the third digit is half the value of the eigth digit the last digit is twice the amount of the fourth digita 0 precedes the 7the seventh digit is the sum of the 1st and 4th digit

The problem would be easier to solve if you would break it up into capitalized sentences. What you have written is a run-on sentence that is difficult to follow.

You should have written:
The number uses every number 0-9.
Each number is used only once.
The fourth digit is 4.
The first digit in the billions place is 3.
The 5 is the next-to-the-last digit.
The sixth digit is 7.
The digit after 3 is 9.
The digit before 5 is 2.
The third digit is half the value of the eigth digit.
The last digit is twice the amount of the fourth digit.
A 0 precedes the 7.
The seventh digit is the sum of the 1st and 4th digits.

Fill in the blanks, step by step, according to the directions above.
Example
---4------
3--4----5-
39-4-6-25-
3914-6-25-
etc.
You finish it

The sixth digit is 7 not 6

It wouldn't let me break down the way you have it. it all looks like what I put other than the 6 should be a 7, if I understand right.

Correct. The sixth digit is 7.

My mistake. Anyway, you get the idea.

If that is the way the question was written, you should be learning math, and grammar, somewhere else.

391407_258

The only digit left to fill the blank is 6.

To solve this puzzle, we need to carefully analyze the given clues and find the unique arrangement of numbers that satisfies all the conditions. Let's break down the clues one by one:

1. The fourth digit is 4.
- This means that the number we are looking for has 4 as its fourth digit.

2. The first digit in the billions place is 3.
- Since this clue specifies the place value as billions and the first digit should be 3, it tells us that the number we are looking for starts with 3.

3. The 5 is next to the last digit.
- This implies that the number we are looking for has 5 as one of its end digits. Since it doesn't mention which end, we'll keep two possibilities in mind: 5 in the units place or 5 in the billions place.

4. The sixth digit is 7.
- This tells us that the number we're looking for has 7 as its sixth digit.

5. The digit after 3 is 9.
- We know that 3 appears somewhere in the number, and directly after it comes 9.

6. The digit before 5 is 2.
- This implies that 2 appears somewhere in the number just before 5.

7. The third digit is half the value of the eighth digit.
- The number we're looking for has a digit in the third place, which is exactly half the value of the digit in the eighth place. We'll have to consider the possibilities as we gather more information.

8. The last digit is twice the amount of the fourth digit.
- This tells us that the last digit of the number is twice the value of the fourth digit.

9. A 0 precedes the 7.
- We know that the number we're looking for has a 7, preceded by 0.

10. The seventh digit is the sum of the first and fourth digit.
- The number we're looking for has a digit in the seventh place that is equal to the sum of the first and fourth digit.

Let's summarize what we know so far:
- The number starts with 3.
- The fourth digit is 4.
- The sixth digit is 7.
- The digit after 3 is 9.
- The digit before 5 is 2.
- The last digit is twice the amount of the fourth digit.
- A 0 precedes the 7.
- The seventh digit is the sum of the first and fourth digit.

Using this information, we can determine the unique number that fits all the given conditions. The final number is: 3012974584.