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Finding the Fourth Proportional to 99,859,217.60, 149,900,800.80 and 77,240,388.80

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Solution

The fourth proportional to 99,859,217.60, 149,900,800.80 and 77,240,388.80 is: 115,947,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,859,217.60 : 149,900,800.80 = 77,240,388.80 : x
  2. Step 2: Convert to fraction form
    99,859,217.60/149,900,800.80 = 77,240,388.80/x
  3. Step 3: Cross multiply
    99,859,217.60x = 149,900,800.80 × 77,240,388.80
  4. Step 4: Simplify right side
    99,859,217.60x = 11,578,396,135,223,352
  5. Step 5: Solve for x
    x = 11,578,396,135,223,352/99,859,217.60
  6. Step 6: Final answer
    x = 115,947,194.60

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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.