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Finding the Fourth Proportional to 150,215,929.80, 225,323,894.70 and 150,215,929.80

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Solution

The fourth proportional to 150,215,929.80, 225,323,894.70 and 150,215,929.80 is: 225,323,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,215,929.80 : 225,323,894.70 = 150,215,929.80 : x
  2. Step 2: Convert to fraction form
    150,215,929.80/225,323,894.70 = 150,215,929.80/x
  3. Step 3: Cross multiply
    150,215,929.80x = 225,323,894.70 × 150,215,929.80
  4. Step 4: Simplify right side
    150,215,929.80x = 33,847,238,348,517,792
  5. Step 5: Solve for x
    x = 33,847,238,348,517,792/150,215,929.80
  6. Step 6: Final answer
    x = 225,323,894.70

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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.