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Finding the Fourth Proportional to 2,986,902,001.20, 4,471,743,657.60 and 2,986,902,001.20

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Solution

The fourth proportional to 2,986,902,001.20, 4,471,743,657.60 and 2,986,902,001.20 is: 4,471,743,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986,902,001.20 : 4,471,743,657.60 = 2,986,902,001.20 : x
  2. Step 2: Convert to fraction form
    2,986,902,001.20/4,471,743,657.60 = 2,986,902,001.20/x
  3. Step 3: Cross multiply
    2,986,902,001.20x = 4,471,743,657.60 × 2,986,902,001.20
  4. Step 4: Simplify right side
    2,986,902,001.20x = 13,356,660,079,738,847,232
  5. Step 5: Solve for x
    x = 13,356,660,079,738,847,232/2,986,902,001.20
  6. Step 6: Final answer
    x = 4,471,743,657.60

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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.