
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. If at a distance of 5,000 miles from the center of Earth, the gravitational force is 400 Newtons, determine the gravitational force when the object is located 300,000 miles from the center of Earth. Express your answer as a fraction.

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