To find the original dimensions, write a proportion with the scale as the first ratio and the scale dimension compared to the actual dimension as the second ratio. Use cross products to solve. To find new dimensions, write a proportion with the new scale as the first ratio and the scale dimension compared to the actual dimension as the second ratio. Use cross products to solve.
There are an infinite number of these whole numbers. Thus the series goes on without bounds. Whatever very big number you can think of there is another one which is 1 greater.