
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 a planet exerts on an object is inversely proportional to the square of the distance between the center of the planet and the object. If Anna stands 5,000 miles from the center of this planet and experiences a gravitational force of 500 Newtons, what would be the gravitational force exerted on her when she stands 200,000 miles from the center of the same planet? Express your answer as a fraction.

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