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Finding the Fourth Proportional to 4,471,844,158.40, 6,707,766,237.60 and 4,471,844,158.40

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Solution

The fourth proportional to 4,471,844,158.40, 6,707,766,237.60 and 4,471,844,158.40 is: 6,707,766,237.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471,844,158.40 : 6,707,766,237.60 = 4,471,844,158.40 : x
  2. Step 2: Convert to fraction form
    4,471,844,158.40/6,707,766,237.60 = 4,471,844,158.40/x
  3. Step 3: Cross multiply
    4,471,844,158.40x = 6,707,766,237.60 × 4,471,844,158.40
  4. Step 4: Simplify right side
    4,471,844,158.40x = 29,996,085,265,524,305,920
  5. Step 5: Solve for x
    x = 29,996,085,265,524,305,920/4,471,844,158.40
  6. Step 6: Final answer
    x = 6,707,766,237.60

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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.