Final answer:
Doubling the distance from the Earth's center will reduce the gravitational force on the meteor by one-fourth.
Step-by-step explanation:
The gravitational force between Earth and a meteor in outer space follows the inverse square law, which means that doubling the distance from the Earth's center will result in the force being reduced by a factor of 1/4. So, if the meteor moves so its distance from the Earth's center doubles, the gravitational force on the meteor will be one-fourth of its original force.