How many milliliters of a 0.1 M NaOH solution is needed to completely neutralize 1 liter of lemonade containing 25% citric acide

25% is a lot of citric acid in lemonade, it is usually ca 5% or less.

Start from a balanced equation:

NaOH + 3-carboxy-3-hydroxypentanedioic acid -> 3-carboxy-3-hydroxypentanedioic acid, trisodium salt + H2O

which you need to balance

OK. Let us assume that the 25% is by weight and that the density 1.00 g L^-1

so our solution contains 250 g of citric acid, molar mass = 192 g mole^-1

so the number of moles =
250 g/192 g mole^-1

from the balanced equation we can work out how many moles of NaOH react with
1 mole of citric acid.
Hence work out how many moles (N) of NaOH react with 250 g/192 g mole^-1
of citric acid.

To calculate the volume (millitres) of NaOH required

=Nx1000/0.1

it will be a large volume.