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Finding the Fourth Proportional to 2,646,264,998.80, 3,969,397,498.20 and 2,646,264,998.80

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Solution

The fourth proportional to 2,646,264,998.80, 3,969,397,498.20 and 2,646,264,998.80 is: 3,969,397,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646,264,998.80 : 3,969,397,498.20 = 2,646,264,998.80 : x
  2. Step 2: Convert to fraction form
    2,646,264,998.80/3,969,397,498.20 = 2,646,264,998.80/x
  3. Step 3: Cross multiply
    2,646,264,998.80x = 3,969,397,498.20 × 2,646,264,998.80
  4. Step 4: Simplify right side
    2,646,264,998.80x = 10,504,077,665,810,946,048
  5. Step 5: Solve for x
    x = 10,504,077,665,810,946,048/2,646,264,998.80
  6. Step 6: Final answer
    x = 3,969,397,498.20

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.