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Finding the Fourth Proportional to 367,040,775,841.90, 550,561,163,762.85 and 367,040,775,841.90

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Solution

The fourth proportional to 367,040,775,841.90, 550,561,163,762.85 and 367,040,775,841.90 is: 550,561,163,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,040,775,841.90 : 550,561,163,762.85 = 367,040,775,841.90 : x
  2. Step 2: Convert to fraction form
    367,040,775,841.90/550,561,163,762.85 = 367,040,775,841.90/x
  3. Step 3: Cross multiply
    367,040,775,841.90x = 550,561,163,762.85 × 367,040,775,841.90
  4. Step 4: Simplify right side
    367,040,775,841.90x = 202,078,396,695,935,834,914,816
  5. Step 5: Solve for x
    x = 202,078,396,695,935,834,914,816/367,040,775,841.90
  6. Step 6: Final answer
    x = 550,561,163,762.85

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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.