All the gummy machines at a candy factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.
How many hours would it take to finish the order if the number of working machines increased by a factor of 4?
If six machines working simultaneously can complete a big order in 22 hours, then the rate at which each machine completes the order is 1/6 of the order per hour.
Let X be the number of hours it would take to finish the order if the number of working machines increased by a factor of 4.
If 6 machines can complete the order in 22 hours, then one machine would complete the order in 6 * 22 = <<6*22=132>>132 hours.
Therefore, 4 times as many machines would complete the order in 132 / 4 = <<132/4=33>>33 hours. Answer: \boxed{33}.