
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 attraction that Earth exerts on an object follows an inverse square law. Initially, when John is 4,000 miles from Earth's center, the force is 600 Newtons. Calculate the gravitational force when John is on a geostationary satellite, 22,300 miles from Earth's center. Express your answer as a fraction.

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