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Finding the Fourth Proportional to 431,570,782.30, 647,356,173.45 and 431,570,782.30

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Solution

The fourth proportional to 431,570,782.30, 647,356,173.45 and 431,570,782.30 is: 647,356,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,570,782.30 : 647,356,173.45 = 431,570,782.30 : x
  2. Step 2: Convert to fraction form
    431,570,782.30/647,356,173.45 = 431,570,782.30/x
  3. Step 3: Cross multiply
    431,570,782.30x = 647,356,173.45 × 431,570,782.30
  4. Step 4: Simplify right side
    431,570,782.30x = 279,380,010,202,551,008
  5. Step 5: Solve for x
    x = 279,380,010,202,551,008/431,570,782.30
  6. Step 6: Final answer
    x = 647,356,173.45

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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.