
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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Three flasks contain concentrated acid: 10 g in the first flask, 20 g in the second flask, and 30 g in the third flask. There is also a fourth flask containing water. If some amount of water from the fourth flask is added to the first flask, and the remaining water is poured into the second flask, then the acid in the first flask will constitute $\frac{1}{20}$ of the mixture, and in the second flask, the acid will constitute $\frac{7}{30}$ of the mixture. What fraction will the acid constitute in the third flask if all the water from the fourth flask is poured into it?

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