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Finding the Fourth Proportional to 3,107,693,912.80, 4,661,540,869.20 and 3,107,693,912.80

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Solution

The fourth proportional to 3,107,693,912.80, 4,661,540,869.20 and 3,107,693,912.80 is: 4,661,540,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107,693,912.80 : 4,661,540,869.20 = 3,107,693,912.80 : x
  2. Step 2: Convert to fraction form
    3,107,693,912.80/4,661,540,869.20 = 3,107,693,912.80/x
  3. Step 3: Cross multiply
    3,107,693,912.80x = 4,661,540,869.20 × 3,107,693,912.80
  4. Step 4: Simplify right side
    3,107,693,912.80x = 14,486,642,183,481,262,080
  5. Step 5: Solve for x
    x = 14,486,642,183,481,262,080/3,107,693,912.80
  6. Step 6: Final answer
    x = 4,661,540,869.20

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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.