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Finding the Fourth Proportional to 356,064,387.60, 534,096,581.40 and 200,458,462.80

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Solution

The fourth proportional to 356,064,387.60, 534,096,581.40 and 200,458,462.80 is: 300,687,694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,064,387.60 : 534,096,581.40 = 200,458,462.80 : x
  2. Step 2: Convert to fraction form
    356,064,387.60/534,096,581.40 = 200,458,462.80/x
  3. Step 3: Cross multiply
    356,064,387.60x = 534,096,581.40 × 200,458,462.80
  4. Step 4: Simplify right side
    356,064,387.60x = 107,064,179,694,179,072
  5. Step 5: Solve for x
    x = 107,064,179,694,179,072/356,064,387.60
  6. Step 6: Final answer
    x = 300,687,694.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.