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Finding the Fourth Proportional to 543,672,005.20, 815,508,007.82 and 543,672,005.20

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Solution

The fourth proportional to 543,672,005.20, 815,508,007.82 and 543,672,005.20 is: 815,508,007.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,672,005.20 : 815,508,007.82 = 543,672,005.20 : x
  2. Step 2: Convert to fraction form
    543,672,005.20/815,508,007.82 = 543,672,005.20/x
  3. Step 3: Cross multiply
    543,672,005.20x = 815,508,007.82 × 543,672,005.20
  4. Step 4: Simplify right side
    543,672,005.20x = 443,368,873,865,438,400
  5. Step 5: Solve for x
    x = 443,368,873,865,438,400/543,672,005.20
  6. Step 6: Final answer
    x = 815,508,007.82

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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.