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Finding the Fourth Proportional to 367,040,771,705.90, 550,561,157,558.84 and 367,040,771,705.90

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Solution

The fourth proportional to 367,040,771,705.90, 550,561,157,558.84 and 367,040,771,705.90 is: 550,561,157,558.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,040,771,705.90 : 550,561,157,558.84 = 367,040,771,705.90 : x
  2. Step 2: Convert to fraction form
    367,040,771,705.90/550,561,157,558.84 = 367,040,771,705.90/x
  3. Step 3: Cross multiply
    367,040,771,705.90x = 550,561,157,558.84 × 367,040,771,705.90
  4. Step 4: Simplify right side
    367,040,771,705.90x = 202,078,392,141,690,221,625,344
  5. Step 5: Solve for x
    x = 202,078,392,141,690,221,625,344/367,040,771,705.90
  6. Step 6: Final answer
    x = 550,561,157,558.84

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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.