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Finding the Fourth Proportional to 440,109,067.20, 658,728,710.10 and 440,109,067.20

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Solution

The fourth proportional to 440,109,067.20, 658,728,710.10 and 440,109,067.20 is: 658,728,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,109,067.20 : 658,728,710.10 = 440,109,067.20 : x
  2. Step 2: Convert to fraction form
    440,109,067.20/658,728,710.10 = 440,109,067.20/x
  3. Step 3: Cross multiply
    440,109,067.20x = 658,728,710.10 × 440,109,067.20
  4. Step 4: Simplify right side
    440,109,067.20x = 289,912,478,139,970,240
  5. Step 5: Solve for x
    x = 289,912,478,139,970,240/440,109,067.20
  6. Step 6: Final answer
    x = 658,728,710.10

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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.