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Finding the Fourth Proportional to 6,283,879,969,708.70, 9,425,819,954,563.20 and 6,283,879,969,708.70

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Solution

The fourth proportional to 6,283,879,969,708.70, 9,425,819,954,563.20 and 6,283,879,969,708.70 is: 9,425,819,954,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,879,969,708.70 : 9,425,819,954,563.20 = 6,283,879,969,708.70 : x
  2. Step 2: Convert to fraction form
    6,283,879,969,708.70/9,425,819,954,563.20 = 6,283,879,969,708.70/x
  3. Step 3: Cross multiply
    6,283,879,969,708.70x = 9,425,819,954,563.20 × 6,283,879,969,708.70
  4. Step 4: Simplify right side
    6,283,879,969,708.70x = 59,230,721,210,560,253,884,628,992
  5. Step 5: Solve for x
    x = 59,230,721,210,560,253,884,628,992/6,283,879,969,708.70
  6. Step 6: Final answer
    x = 9,425,819,954,563.20

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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.