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Finding the Fourth Proportional to 269,356,204.80, 403,467,436.80 and 224,006,572.80

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Solution

The fourth proportional to 269,356,204.80, 403,467,436.80 and 224,006,572.80 is: 335,538,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,356,204.80 : 403,467,436.80 = 224,006,572.80 : x
  2. Step 2: Convert to fraction form
    269,356,204.80/403,467,436.80 = 224,006,572.80/x
  3. Step 3: Cross multiply
    269,356,204.80x = 403,467,436.80 × 224,006,572.80
  4. Step 4: Simplify right side
    269,356,204.80x = 90,379,357,753,968,608
  5. Step 5: Solve for x
    x = 90,379,357,753,968,608/269,356,204.80
  6. Step 6: Final answer
    x = 335,538,428.83

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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.