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Finding the Fourth Proportional to 106,452,023.10, 159,678,034.65 and 106,452,023.10

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Solution

The fourth proportional to 106,452,023.10, 159,678,034.65 and 106,452,023.10 is: 159,678,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,452,023.10 : 159,678,034.65 = 106,452,023.10 : x
  2. Step 2: Convert to fraction form
    106,452,023.10/159,678,034.65 = 106,452,023.10/x
  3. Step 3: Cross multiply
    106,452,023.10x = 159,678,034.65 × 106,452,023.10
  4. Step 4: Simplify right side
    106,452,023.10x = 16,998,049,833,124,400
  5. Step 5: Solve for x
    x = 16,998,049,833,124,400/106,452,023.10
  6. Step 6: Final answer
    x = 159,678,034.65

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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.