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Finding the Fourth Proportional to 2,649,348,002.70, 3,965,412,659.85 and 2,649,348,002.70

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Solution

The fourth proportional to 2,649,348,002.70, 3,965,412,659.85 and 2,649,348,002.70 is: 3,965,412,659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,348,002.70 : 3,965,412,659.85 = 2,649,348,002.70 : x
  2. Step 2: Convert to fraction form
    2,649,348,002.70/3,965,412,659.85 = 2,649,348,002.70/x
  3. Step 3: Cross multiply
    2,649,348,002.70x = 3,965,412,659.85 × 2,649,348,002.70
  4. Step 4: Simplify right side
    2,649,348,002.70x = 10,505,758,110,254,891,008
  5. Step 5: Solve for x
    x = 10,505,758,110,254,891,008/2,649,348,002.70
  6. Step 6: Final answer
    x = 3,965,412,659.85

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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.