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Finding the Fourth Proportional to 278,316,098.45, 417,474,147.69 and 278,316,098.45

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Solution

The fourth proportional to 278,316,098.45, 417,474,147.69 and 278,316,098.45 is: 417,474,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,316,098.45 : 417,474,147.69 = 278,316,098.45 : x
  2. Step 2: Convert to fraction form
    278,316,098.45/417,474,147.69 = 278,316,098.45/x
  3. Step 3: Cross multiply
    278,316,098.45x = 417,474,147.69 × 278,316,098.45
  4. Step 4: Simplify right side
    278,316,098.45x = 116,189,775,988,819,872
  5. Step 5: Solve for x
    x = 116,189,775,988,819,872/278,316,098.45
  6. Step 6: Final answer
    x = 417,474,147.69

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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.