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Finding the Fourth Proportional to 165,974,422.65, 232,704,313.95 and 165,974,422.65

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Solution

The fourth proportional to 165,974,422.65, 232,704,313.95 and 165,974,422.65 is: 232,704,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,974,422.65 : 232,704,313.95 = 165,974,422.65 : x
  2. Step 2: Convert to fraction form
    165,974,422.65/232,704,313.95 = 165,974,422.65/x
  3. Step 3: Cross multiply
    165,974,422.65x = 232,704,313.95 × 165,974,422.65
  4. Step 4: Simplify right side
    165,974,422.65x = 38,622,964,156,015,592
  5. Step 5: Solve for x
    x = 38,622,964,156,015,592/165,974,422.65
  6. Step 6: Final answer
    x = 232,704,313.95

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.