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Finding the Fourth Proportional to 392,642,479.60, 541,846,489.68 and 216,433,417.60

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Solution

The fourth proportional to 392,642,479.60, 541,846,489.68 and 216,433,417.60 is: 298,678,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,642,479.60 : 541,846,489.68 = 216,433,417.60 : x
  2. Step 2: Convert to fraction form
    392,642,479.60/541,846,489.68 = 216,433,417.60/x
  3. Step 3: Cross multiply
    392,642,479.60x = 541,846,489.68 × 216,433,417.60
  4. Step 4: Simplify right side
    392,642,479.60x = 117,273,687,574,923,344
  5. Step 5: Solve for x
    x = 117,273,687,574,923,344/392,642,479.60
  6. Step 6: Final answer
    x = 298,678,043.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.