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Finding the Fourth Proportional to 431,567,997.30, 647,351,995.95 and 431,567,997.30

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Solution

The fourth proportional to 431,567,997.30, 647,351,995.95 and 431,567,997.30 is: 647,351,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,567,997.30 : 647,351,995.95 = 431,567,997.30 : x
  2. Step 2: Convert to fraction form
    431,567,997.30/647,351,995.95 = 431,567,997.30/x
  3. Step 3: Cross multiply
    431,567,997.30x = 647,351,995.95 × 431,567,997.30
  4. Step 4: Simplify right side
    431,567,997.30x = 279,376,404,440,299,232
  5. Step 5: Solve for x
    x = 279,376,404,440,299,232/431,567,997.30
  6. Step 6: Final answer
    x = 647,351,995.95

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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.