The force of gravity is given by the equation F = G m1m2 / r2
where G = gravitational constant
at 4000 miles 600 = G m1m2/ (4000)2
or simply 600 = k / (4000)2 Then k = 600(4000)2
at 240 000 miles F = G m1m2 / (240000)2 ( we are ignoring the gravity of the moon for this problem)
F = k / ( 240 000)^2
= 600(4000)^2 / 2400002 = .1666 N <==== ( basically weightless !)