Under what condition two bodies of different masses, raised in height, will have the same potential energy.

Let’s write down the formula for potential energy:
E = mgh
If the heights of the bodies are different, then the ratio of the potential energies of the bodies can be written:
m1gh1 = m2gh2 (since they must be equal)
m1 / m2 = h2 / h1
In such a ratio, the equality of their potential energies will be fulfilled.
If initially the height is the same, but the masses are different, then the only thing that can be changed in the formula is the acceleration of gravity g, in which case the ratio will be similar:
m1 / m2 = g2 / g1
Answer: m1 / m2 = h2 / h1 (different heights)
m1 / m2 = g2 / g1 (heights are the same)