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Finding the Fourth Proportional to 367,040,775,868.90, 550,561,163,803.35 and 367,040,775,868.90

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Solution

The fourth proportional to 367,040,775,868.90, 550,561,163,803.35 and 367,040,775,868.90 is: 550,561,163,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,040,775,868.90 : 550,561,163,803.35 = 367,040,775,868.90 : x
  2. Step 2: Convert to fraction form
    367,040,775,868.90/550,561,163,803.35 = 367,040,775,868.90/x
  3. Step 3: Cross multiply
    367,040,775,868.90x = 550,561,163,803.35 × 367,040,775,868.90
  4. Step 4: Simplify right side
    367,040,775,868.90x = 202,078,396,725,666,135,408,640
  5. Step 5: Solve for x
    x = 202,078,396,725,666,135,408,640/367,040,775,868.90
  6. Step 6: Final answer
    x = 550,561,163,803.35

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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.