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Finding the Fourth Proportional to 819,397,695.60, 1,229,096,543.40 and 724,694,909.40

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Solution

The fourth proportional to 819,397,695.60, 1,229,096,543.40 and 724,694,909.40 is: 1,087,042,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,397,695.60 : 1,229,096,543.40 = 724,694,909.40 : x
  2. Step 2: Convert to fraction form
    819,397,695.60/1,229,096,543.40 = 724,694,909.40/x
  3. Step 3: Cross multiply
    819,397,695.60x = 1,229,096,543.40 × 724,694,909.40
  4. Step 4: Simplify right side
    819,397,695.60x = 890,720,008,163,116,160
  5. Step 5: Solve for x
    x = 890,720,008,163,116,160/819,397,695.60
  6. Step 6: Final answer
    x = 1,087,042,364.10

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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.