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Finding the Fourth Proportional to 99,096,821.20, 148,645,231.80 and 99,096,821.20

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Solution

The fourth proportional to 99,096,821.20, 148,645,231.80 and 99,096,821.20 is: 148,645,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,096,821.20 : 148,645,231.80 = 99,096,821.20 : x
  2. Step 2: Convert to fraction form
    99,096,821.20/148,645,231.80 = 99,096,821.20/x
  3. Step 3: Cross multiply
    99,096,821.20x = 148,645,231.80 × 99,096,821.20
  4. Step 4: Simplify right side
    99,096,821.20x = 14,730,269,957,917,156
  5. Step 5: Solve for x
    x = 14,730,269,957,917,156/99,096,821.20
  6. Step 6: Final answer
    x = 148,645,231.80

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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.