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Finding the Fourth Proportional to 7,882,023.80, 11,823,035.71 and 7,882,023.80

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Solution

The fourth proportional to 7,882,023.80, 11,823,035.71 and 7,882,023.80 is: 11,823,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882,023.80 : 11,823,035.71 = 7,882,023.80 : x
  2. Step 2: Convert to fraction form
    7,882,023.80/11,823,035.71 = 7,882,023.80/x
  3. Step 3: Cross multiply
    7,882,023.80x = 11,823,035.71 × 7,882,023.80
  4. Step 4: Simplify right side
    7,882,023.80x = 93,189,448,854,469.91
  5. Step 5: Solve for x
    x = 93,189,448,854,469.91/7,882,023.80
  6. Step 6: Final answer
    x = 11,823,035.71

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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.