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Finding the Fourth Proportional to 106,287,719.20, 159,148,143.60 and 106,287,719.20

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Solution

The fourth proportional to 106,287,719.20, 159,148,143.60 and 106,287,719.20 is: 159,148,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,287,719.20 : 159,148,143.60 = 106,287,719.20 : x
  2. Step 2: Convert to fraction form
    106,287,719.20/159,148,143.60 = 106,287,719.20/x
  3. Step 3: Cross multiply
    106,287,719.20x = 159,148,143.60 × 106,287,719.20
  4. Step 4: Simplify right side
    106,287,719.20x = 16,915,493,198,158,076
  5. Step 5: Solve for x
    x = 16,915,493,198,158,076/106,287,719.20
  6. Step 6: Final answer
    x = 159,148,143.60

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Why These Related Problems?

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