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Finding the Fourth Proportional to 279,507,872.40, 419,639,722.20 and 177,471,200.40

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Solution

The fourth proportional to 279,507,872.40, 419,639,722.20 and 177,471,200.40 is: 266,446,753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,507,872.40 : 419,639,722.20 = 177,471,200.40 : x
  2. Step 2: Convert to fraction form
    279,507,872.40/419,639,722.20 = 177,471,200.40/x
  3. Step 3: Cross multiply
    279,507,872.40x = 419,639,722.20 × 177,471,200.40
  4. Step 4: Simplify right side
    279,507,872.40x = 74,473,965,234,356,528
  5. Step 5: Solve for x
    x = 74,473,965,234,356,528/279,507,872.40
  6. Step 6: Final answer
    x = 266,446,753.70

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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.