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Finding the Fourth Proportional to 784,365,201.71, 1,082,389,062.68 and 449,597,728.69

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Solution

The fourth proportional to 784,365,201.71, 1,082,389,062.68 and 449,597,728.69 is: 620,424,851.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,365,201.71 : 1,082,389,062.68 = 449,597,728.69 : x
  2. Step 2: Convert to fraction form
    784,365,201.71/1,082,389,062.68 = 449,597,728.69/x
  3. Step 3: Cross multiply
    784,365,201.71x = 1,082,389,062.68 × 449,597,728.69
  4. Step 4: Simplify right side
    784,365,201.71x = 486,639,664,145,170,560
  5. Step 5: Solve for x
    x = 486,639,664,145,170,560/784,365,201.71
  6. Step 6: Final answer
    x = 620,424,851.95

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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.