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Finding the Fourth Proportional to 266,691,115.20, 400,036,672.80 and 157,404,100.80

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Solution

The fourth proportional to 266,691,115.20, 400,036,672.80 and 157,404,100.80 is: 236,106,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,691,115.20 : 400,036,672.80 = 157,404,100.80 : x
  2. Step 2: Convert to fraction form
    266,691,115.20/400,036,672.80 = 157,404,100.80/x
  3. Step 3: Cross multiply
    266,691,115.20x = 400,036,672.80 × 157,404,100.80
  4. Step 4: Simplify right side
    266,691,115.20x = 62,967,412,769,107,824
  5. Step 5: Solve for x
    x = 62,967,412,769,107,824/266,691,115.20
  6. Step 6: Final answer
    x = 236,106,151.20

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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.