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Finding the Fourth Proportional to 278,316,115.20, 417,474,172.80 and 278,316,115.20

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Solution

The fourth proportional to 278,316,115.20, 417,474,172.80 and 278,316,115.20 is: 417,474,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,316,115.20 : 417,474,172.80 = 278,316,115.20 : x
  2. Step 2: Convert to fraction form
    278,316,115.20/417,474,172.80 = 278,316,115.20/x
  3. Step 3: Cross multiply
    278,316,115.20x = 417,474,172.80 × 278,316,115.20
  4. Step 4: Simplify right side
    278,316,115.20x = 116,189,789,970,029,504
  5. Step 5: Solve for x
    x = 116,189,789,970,029,504/278,316,115.20
  6. Step 6: Final answer
    x = 417,474,172.80

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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.