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Finding the Fourth Proportional to 100,205,712.70, 150,308,569.05 and 100,205,712.70

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Solution

The fourth proportional to 100,205,712.70, 150,308,569.05 and 100,205,712.70 is: 150,308,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,205,712.70 : 150,308,569.05 = 100,205,712.70 : x
  2. Step 2: Convert to fraction form
    100,205,712.70/150,308,569.05 = 100,205,712.70/x
  3. Step 3: Cross multiply
    100,205,712.70x = 150,308,569.05 × 100,205,712.70
  4. Step 4: Simplify right side
    100,205,712.70x = 15,061,777,286,572,414
  5. Step 5: Solve for x
    x = 15,061,777,286,572,414/100,205,712.70
  6. Step 6: Final answer
    x = 150,308,569.05

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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.