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Finding the Fourth Proportional to 2,649,984,003.20, 3,974,976,004.80 and 2,649,984,003.20

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Solution

The fourth proportional to 2,649,984,003.20, 3,974,976,004.80 and 2,649,984,003.20 is: 3,974,976,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,984,003.20 : 3,974,976,004.80 = 2,649,984,003.20 : x
  2. Step 2: Convert to fraction form
    2,649,984,003.20/3,974,976,004.80 = 2,649,984,003.20/x
  3. Step 3: Cross multiply
    2,649,984,003.20x = 3,974,976,004.80 × 2,649,984,003.20
  4. Step 4: Simplify right side
    2,649,984,003.20x = 10,533,622,825,823,846,400
  5. Step 5: Solve for x
    x = 10,533,622,825,823,846,400/2,649,984,003.20
  6. Step 6: Final answer
    x = 3,974,976,004.80

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Double scale
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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.