
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
Solve the proportions:

1. 2 : x = 6 : 9
2. 0.8 : 60 = 0.4 : x
3. $\frac{7.5}{x} = \frac{2.5}{81}$
4. 1.5 : $\frac{1}{3}$ = 1.8 : x

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