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Finding the Fourth Proportional to 2,608,128,727.20, 3,912,193,090.80 and 2,608,128,727.20

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Solution

The fourth proportional to 2,608,128,727.20, 3,912,193,090.80 and 2,608,128,727.20 is: 3,912,193,090.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608,128,727.20 : 3,912,193,090.80 = 2,608,128,727.20 : x
  2. Step 2: Convert to fraction form
    2,608,128,727.20/3,912,193,090.80 = 2,608,128,727.20/x
  3. Step 3: Cross multiply
    2,608,128,727.20x = 3,912,193,090.80 × 2,608,128,727.20
  4. Step 4: Simplify right side
    2,608,128,727.20x = 10,203,503,186,468,837,376
  5. Step 5: Solve for x
    x = 10,203,503,186,468,837,376/2,608,128,727.20
  6. Step 6: Final answer
    x = 3,912,193,090.80

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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.