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Finding the Fourth Proportional to 99,645,350.74, 149,468,026.11 and 99,645,350.74

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Solution

The fourth proportional to 99,645,350.74, 149,468,026.11 and 99,645,350.74 is: 149,468,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,645,350.74 : 149,468,026.11 = 99,645,350.74 : x
  2. Step 2: Convert to fraction form
    99,645,350.74/149,468,026.11 = 99,645,350.74/x
  3. Step 3: Cross multiply
    99,645,350.74x = 149,468,026.11 × 99,645,350.74
  4. Step 4: Simplify right side
    99,645,350.74x = 14,893,793,885,399,086
  5. Step 5: Solve for x
    x = 14,893,793,885,399,086/99,645,350.74
  6. Step 6: Final answer
    x = 149,468,026.11

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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.