
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]


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The gravitational force between two objects is inversely proportional to the square of the distance between their centers. If the gravitational force between Earth and an object at a distance of 5,000 miles from Earth's center is 480 Newtons, what would the force be if the object moves to a distance of 300,000 miles 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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