
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
Given that old license plates consist of a letter followed by three digits and new license plates consist of four letters followed by four digits, determine the ratio of the number of possible new license plates to the number of possible old license plates.

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