
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The gravitational force that Earth exerts on an object is inversely proportional to the square of the distance between the center of the Earth and the object. An astronaut on the surface of Earth, which is 6,371 kilometers from the center, experiences a gravitational force of 980 Newtons. Calculate the gravitational force (in Newtons) on the astronaut when they are on a space station 100,000 kilometers away from the center of the Earth. Express your answer as a fraction.

Present the answer in LaTex format: \boxed{Your answer}
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