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Finding the Fourth Proportional to 996,193,798.40, 1,490,259,619.20 and 875,261,446.40

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Solution

The fourth proportional to 996,193,798.40, 1,490,259,619.20 and 875,261,446.40 is: 1,309,350,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,193,798.40 : 1,490,259,619.20 = 875,261,446.40 : x
  2. Step 2: Convert to fraction form
    996,193,798.40/1,490,259,619.20 = 875,261,446.40/x
  3. Step 3: Cross multiply
    996,193,798.40x = 1,490,259,619.20 × 875,261,446.40
  4. Step 4: Simplify right side
    996,193,798.40x = 1,304,366,789,812,505,344
  5. Step 5: Solve for x
    x = 1,304,366,789,812,505,344/996,193,798.40
  6. Step 6: Final answer
    x = 1,309,350,441.56

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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.