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Finding the Fourth Proportional to 431,328,766.20, 646,993,149.30 and 431,328,766.20

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Solution

The fourth proportional to 431,328,766.20, 646,993,149.30 and 431,328,766.20 is: 646,993,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,328,766.20 : 646,993,149.30 = 431,328,766.20 : x
  2. Step 2: Convert to fraction form
    431,328,766.20/646,993,149.30 = 431,328,766.20/x
  3. Step 3: Cross multiply
    431,328,766.20x = 646,993,149.30 × 431,328,766.20
  4. Step 4: Simplify right side
    431,328,766.20x = 279,066,756,827,421,376
  5. Step 5: Solve for x
    x = 279,066,756,827,421,376/431,328,766.20
  6. Step 6: Final answer
    x = 646,993,149.30

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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.