You could win a giant jar of jelly beans if only you could guess how many are in the jar. You find a smaller jar such that the giant one is exactly...

You could win a giant jar of jelly beans if only you could guess how many are in the jar. You find a smaller jar such that the giant one is exactly five times the smaller one in each dimension. If you count 83 jelly beans in your smaller jar, about how many should be in the giant jar?