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Finding the Fourth Proportional to 431,082,002.70, 646,623,004.05 and 431,082,002.70

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Solution

The fourth proportional to 431,082,002.70, 646,623,004.05 and 431,082,002.70 is: 646,623,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,082,002.70 : 646,623,004.05 = 431,082,002.70 : x
  2. Step 2: Convert to fraction form
    431,082,002.70/646,623,004.05 = 431,082,002.70/x
  3. Step 3: Cross multiply
    431,082,002.70x = 646,623,004.05 × 431,082,002.70
  4. Step 4: Simplify right side
    431,082,002.70x = 278,747,539,577,764,192
  5. Step 5: Solve for x
    x = 278,747,539,577,764,192/431,082,002.70
  6. Step 6: Final answer
    x = 646,623,004.05

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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.