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Finding the Fourth Proportional to 77,240,057.80, 108,438,411.80 and 77,240,057.80

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Solution

The fourth proportional to 77,240,057.80, 108,438,411.80 and 77,240,057.80 is: 108,438,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,240,057.80 : 108,438,411.80 = 77,240,057.80 : x
  2. Step 2: Convert to fraction form
    77,240,057.80/108,438,411.80 = 77,240,057.80/x
  3. Step 3: Cross multiply
    77,240,057.80x = 108,438,411.80 × 77,240,057.80
  4. Step 4: Simplify right side
    77,240,057.80x = 8,375,789,195,172,201
  5. Step 5: Solve for x
    x = 8,375,789,195,172,201/77,240,057.80
  6. Step 6: Final answer
    x = 108,438,411.80

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Why These Related Problems?

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