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Finding the Fourth Proportional to 37,298,465,149.80, 55,947,697,724.70 and 37,298,465,149.80

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Solution

The fourth proportional to 37,298,465,149.80, 55,947,697,724.70 and 37,298,465,149.80 is: 55,947,697,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,298,465,149.80 : 55,947,697,724.70 = 37,298,465,149.80 : x
  2. Step 2: Convert to fraction form
    37,298,465,149.80/55,947,697,724.70 = 37,298,465,149.80/x
  3. Step 3: Cross multiply
    37,298,465,149.80x = 55,947,697,724.70 × 37,298,465,149.80
  4. Step 4: Simplify right side
    37,298,465,149.80x = 2,086,763,253,796,267,884,544
  5. Step 5: Solve for x
    x = 2,086,763,253,796,267,884,544/37,298,465,149.80
  6. Step 6: Final answer
    x = 55,947,697,724.70

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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.