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Finding the Fourth Proportional to 431,796,287.40, 647,694,431.10 and 213,480,324.60

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Solution

The fourth proportional to 431,796,287.40, 647,694,431.10 and 213,480,324.60 is: 320,220,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,796,287.40 : 647,694,431.10 = 213,480,324.60 : x
  2. Step 2: Convert to fraction form
    431,796,287.40/647,694,431.10 = 213,480,324.60/x
  3. Step 3: Cross multiply
    431,796,287.40x = 647,694,431.10 × 213,480,324.60
  4. Step 4: Simplify right side
    431,796,287.40x = 138,270,017,392,840,336
  5. Step 5: Solve for x
    x = 138,270,017,392,840,336/431,796,287.40
  6. Step 6: Final answer
    x = 320,220,486.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.