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Finding the Fourth Proportional to 809,782,892.64, 1,214,163,922.32 and 687,004,207.20

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Solution

The fourth proportional to 809,782,892.64, 1,214,163,922.32 and 687,004,207.20 is: 1,030,073,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,782,892.64 : 1,214,163,922.32 = 687,004,207.20 : x
  2. Step 2: Convert to fraction form
    809,782,892.64/1,214,163,922.32 = 687,004,207.20/x
  3. Step 3: Cross multiply
    809,782,892.64x = 1,214,163,922.32 × 687,004,207.20
  4. Step 4: Simplify right side
    809,782,892.64x = 834,135,722,864,294,016
  5. Step 5: Solve for x
    x = 834,135,722,864,294,016/809,782,892.64
  6. Step 6: Final answer
    x = 1,030,073,283.15

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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.