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Finding the Fourth Proportional to 7,777,141.14, 11,665,711.70 and 7,777,141.14

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Solution

The fourth proportional to 7,777,141.14, 11,665,711.70 and 7,777,141.14 is: 11,665,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777,141.14 : 11,665,711.70 = 7,777,141.14 : x
  2. Step 2: Convert to fraction form
    7,777,141.14/11,665,711.70 = 7,777,141.14/x
  3. Step 3: Cross multiply
    7,777,141.14x = 11,665,711.70 × 7,777,141.14
  4. Step 4: Simplify right side
    7,777,141.14x = 90,725,886,389,449.33
  5. Step 5: Solve for x
    x = 90,725,886,389,449.33/7,777,141.14
  6. Step 6: Final answer
    x = 11,665,711.70

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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.