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Finding the Fourth Proportional to 50,454,252,023.80, 75,681,378,035.70 and 50,454,252,023.80

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Solution

The fourth proportional to 50,454,252,023.80, 75,681,378,035.70 and 50,454,252,023.80 is: 75,681,378,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,454,252,023.80 : 75,681,378,035.70 = 50,454,252,023.80 : x
  2. Step 2: Convert to fraction form
    50,454,252,023.80/75,681,378,035.70 = 50,454,252,023.80/x
  3. Step 3: Cross multiply
    50,454,252,023.80x = 75,681,378,035.70 × 50,454,252,023.80
  4. Step 4: Simplify right side
    50,454,252,023.80x = 3,818,447,320,921,689,554,944
  5. Step 5: Solve for x
    x = 3,818,447,320,921,689,554,944/50,454,252,023.80
  6. Step 6: Final answer
    x = 75,681,378,035.70

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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.