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Finding the Fourth Proportional to 1,017,800,593.76, 1,404,160,922.76 and 588,558,566

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Solution

The fourth proportional to 1,017,800,593.76, 1,404,160,922.76 and 588,558,566 is: 811,977,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,800,593.76 : 1,404,160,922.76 = 588,558,566 : x
  2. Step 2: Convert to fraction form
    1,017,800,593.76/1,404,160,922.76 = 588,558,566/x
  3. Step 3: Cross multiply
    1,017,800,593.76x = 1,404,160,922.76 × 588,558,566
  4. Step 4: Simplify right side
    1,017,800,593.76x = 826,430,939,132,862,336
  5. Step 5: Solve for x
    x = 826,430,939,132,862,336/1,017,800,593.76
  6. Step 6: Final answer
    x = 811,977,261.75

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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.