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Finding the Fourth Proportional to 367,040,771,681.90, 550,561,157,522.85 and 367,040,771,681.90

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Solution

The fourth proportional to 367,040,771,681.90, 550,561,157,522.85 and 367,040,771,681.90 is: 550,561,157,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,040,771,681.90 : 550,561,157,522.85 = 367,040,771,681.90 : x
  2. Step 2: Convert to fraction form
    367,040,771,681.90/550,561,157,522.85 = 367,040,771,681.90/x
  3. Step 3: Cross multiply
    367,040,771,681.90x = 550,561,157,522.85 × 367,040,771,681.90
  4. Step 4: Simplify right side
    367,040,771,681.90x = 202,078,392,115,266,978,840,576
  5. Step 5: Solve for x
    x = 202,078,392,115,266,978,840,576/367,040,771,681.90
  6. Step 6: Final answer
    x = 550,561,157,522.85

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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.