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Finding the Fourth Proportional to 543,672,433.20, 815,508,649.85 and 543,672,433.20

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Solution

The fourth proportional to 543,672,433.20, 815,508,649.85 and 543,672,433.20 is: 815,508,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,672,433.20 : 815,508,649.85 = 543,672,433.20 : x
  2. Step 2: Convert to fraction form
    543,672,433.20/815,508,649.85 = 543,672,433.20/x
  3. Step 3: Cross multiply
    543,672,433.20x = 815,508,649.85 × 543,672,433.20
  4. Step 4: Simplify right side
    543,672,433.20x = 443,369,571,956,878,016
  5. Step 5: Solve for x
    x = 443,369,571,956,878,016/543,672,433.20
  6. Step 6: Final answer
    x = 815,508,649.85

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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.