Imagine you are standing atop a ladder so tall that you are 3 times as far from earth's center as compared to the surface. what would be your weight at the top, relative to your weight at the surface?

Weight will become times of previous weight

Explanation:

Acceleration due to gravity is given by , G is gravitational constant , M is mass of earth and R is the radius of the earth

From the relation we can see that

So ( As it is given that you are standing at 3 times as far from compared to earth center )

So

As weight of the body is , mass is constant and in new case acceleration due to gravity becomes   so weight will also become times of previous weight