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Finding the Fourth Proportional to 817,227,294.60, 1,127,797,593.30 and 445,973,255.40

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Solution

The fourth proportional to 817,227,294.60, 1,127,797,593.30 and 445,973,255.40 is: 615,456,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,227,294.60 : 1,127,797,593.30 = 445,973,255.40 : x
  2. Step 2: Convert to fraction form
    817,227,294.60/1,127,797,593.30 = 445,973,255.40/x
  3. Step 3: Cross multiply
    817,227,294.60x = 1,127,797,593.30 × 445,973,255.40
  4. Step 4: Simplify right side
    817,227,294.60x = 502,967,564,116,286,208
  5. Step 5: Solve for x
    x = 502,967,564,116,286,208/817,227,294.60
  6. Step 6: Final answer
    x = 615,456,149.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.