
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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Suppose the estimated $50$ billion dollar cost to send a team to Mars for colonization is shared by the entire population of a country. To realize this, payment is based on income levels: the richest 10% pay twice as much as the rest. If the country has 300 million people, and everyone aside from the richest 10% pays equally, calculate the cost per person for those not in the richest 10%.

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