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Finding the Fourth Proportional to 542,857,959.16, 813,915,197.09 and 276,447,978.88

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Solution

The fourth proportional to 542,857,959.16, 813,915,197.09 and 276,447,978.88 is: 414,482,660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,857,959.16 : 813,915,197.09 = 276,447,978.88 : x
  2. Step 2: Convert to fraction form
    542,857,959.16/813,915,197.09 = 276,447,978.88/x
  3. Step 3: Cross multiply
    542,857,959.16x = 813,915,197.09 × 276,447,978.88
  4. Step 4: Simplify right side
    542,857,959.16x = 225,005,211,211,177,792
  5. Step 5: Solve for x
    x = 225,005,211,211,177,792/542,857,959.16
  6. Step 6: Final answer
    x = 414,482,660.55

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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.