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Finding the Fourth Proportional to 367,040,768,737.15, 550,561,153,105.73 and 367,040,768,737.15

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Solution

The fourth proportional to 367,040,768,737.15, 550,561,153,105.73 and 367,040,768,737.15 is: 550,561,153,105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,040,768,737.15 : 550,561,153,105.73 = 367,040,768,737.15 : x
  2. Step 2: Convert to fraction form
    367,040,768,737.15/550,561,153,105.73 = 367,040,768,737.15/x
  3. Step 3: Cross multiply
    367,040,768,737.15x = 550,561,153,105.73 × 367,040,768,737.15
  4. Step 4: Simplify right side
    367,040,768,737.15x = 202,078,388,872,738,871,705,600
  5. Step 5: Solve for x
    x = 202,078,388,872,738,871,705,600/367,040,768,737.15
  6. Step 6: Final answer
    x = 550,561,153,105.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.