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Finding the Fourth Proportional to 106,229,139.40, 159,091,766.70 and 106,229,139.40

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Solution

The fourth proportional to 106,229,139.40, 159,091,766.70 and 106,229,139.40 is: 159,091,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,229,139.40 : 159,091,766.70 = 106,229,139.40 : x
  2. Step 2: Convert to fraction form
    106,229,139.40/159,091,766.70 = 106,229,139.40/x
  3. Step 3: Cross multiply
    106,229,139.40x = 159,091,766.70 × 106,229,139.40
  4. Step 4: Simplify right side
    106,229,139.40x = 16,900,181,462,166,578
  5. Step 5: Solve for x
    x = 16,900,181,462,166,578/106,229,139.40
  6. Step 6: Final answer
    x = 159,091,766.70

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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.