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Finding the Fourth Proportional to 862,168,906.90, 1,293,253,360.35 and 862,168,906.90

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Solution

The fourth proportional to 862,168,906.90, 1,293,253,360.35 and 862,168,906.90 is: 1,293,253,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,168,906.90 : 1,293,253,360.35 = 862,168,906.90 : x
  2. Step 2: Convert to fraction form
    862,168,906.90/1,293,253,360.35 = 862,168,906.90/x
  3. Step 3: Cross multiply
    862,168,906.90x = 1,293,253,360.35 × 862,168,906.90
  4. Step 4: Simplify right side
    862,168,906.90x = 1,115,002,836,037,711,232
  5. Step 5: Solve for x
    x = 1,115,002,836,037,711,232/862,168,906.90
  6. Step 6: Final answer
    x = 1,293,253,360.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.