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Finding the Fourth Proportional to 392,642,478.59, 541,846,488.29 and 216,433,416.60

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Solution

The fourth proportional to 392,642,478.59, 541,846,488.29 and 216,433,416.60 is: 298,678,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,642,478.59 : 541,846,488.29 = 216,433,416.60 : x
  2. Step 2: Convert to fraction form
    392,642,478.59/541,846,488.29 = 216,433,416.60/x
  3. Step 3: Cross multiply
    392,642,478.59x = 541,846,488.29 × 216,433,416.60
  4. Step 4: Simplify right side
    392,642,478.59x = 117,273,686,734,827,296
  5. Step 5: Solve for x
    x = 117,273,686,734,827,296/392,642,478.59
  6. Step 6: Final answer
    x = 298,678,042.06

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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.