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Finding the Fourth Proportional to 367,040,769,609.78, 550,561,154,414.67 and 367,040,769,609.78

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Solution

The fourth proportional to 367,040,769,609.78, 550,561,154,414.67 and 367,040,769,609.78 is: 550,561,154,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,040,769,609.78 : 550,561,154,414.67 = 367,040,769,609.78 : x
  2. Step 2: Convert to fraction form
    367,040,769,609.78/550,561,154,414.67 = 367,040,769,609.78/x
  3. Step 3: Cross multiply
    367,040,769,609.78x = 550,561,154,414.67 × 367,040,769,609.78
  4. Step 4: Simplify right side
    367,040,769,609.78x = 202,078,389,833,609,424,928,768
  5. Step 5: Solve for x
    x = 202,078,389,833,609,424,928,768/367,040,769,609.78
  6. Step 6: Final answer
    x = 550,561,154,414.67

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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.