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Finding the Fourth Proportional to 408,415,082.40, 612,678,610.80 and 135,757,418.40

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Solution

The fourth proportional to 408,415,082.40, 612,678,610.80 and 135,757,418.40 is: 203,654,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,415,082.40 : 612,678,610.80 = 135,757,418.40 : x
  2. Step 2: Convert to fraction form
    408,415,082.40/612,678,610.80 = 135,757,418.40/x
  3. Step 3: Cross multiply
    408,415,082.40x = 612,678,610.80 × 135,757,418.40
  4. Step 4: Simplify right side
    408,415,082.40x = 83,175,666,511,106,352
  5. Step 5: Solve for x
    x = 83,175,666,511,106,352/408,415,082.40
  6. Step 6: Final answer
    x = 203,654,737.78

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