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Finding the Fourth Proportional to 512,418,246.40, 768,726,902.40 and 221,284,806.40

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Solution

The fourth proportional to 512,418,246.40, 768,726,902.40 and 221,284,806.40 is: 331,970,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,418,246.40 : 768,726,902.40 = 221,284,806.40 : x
  2. Step 2: Convert to fraction form
    512,418,246.40/768,726,902.40 = 221,284,806.40/x
  3. Step 3: Cross multiply
    512,418,246.40x = 768,726,902.40 × 221,284,806.40
  4. Step 4: Simplify right side
    512,418,246.40x = 170,107,583,772,055,680
  5. Step 5: Solve for x
    x = 170,107,583,772,055,680/512,418,246.40
  6. Step 6: Final answer
    x = 331,970,192.25

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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.