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Finding the Fourth Proportional to 847,754,734.80, 1,169,912,078.76 and 513,222,816.72

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Solution

The fourth proportional to 847,754,734.80, 1,169,912,078.76 and 513,222,816.72 is: 708,253,870.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,754,734.80 : 1,169,912,078.76 = 513,222,816.72 : x
  2. Step 2: Convert to fraction form
    847,754,734.80/1,169,912,078.76 = 513,222,816.72/x
  3. Step 3: Cross multiply
    847,754,734.80x = 1,169,912,078.76 × 513,222,816.72
  4. Step 4: Simplify right side
    847,754,734.80x = 600,425,572,375,957,760
  5. Step 5: Solve for x
    x = 600,425,572,375,957,760/847,754,734.80
  6. Step 6: Final answer
    x = 708,253,870.76

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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.