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Finding the Fourth Proportional to 550,561,158,003.98, 825,841,737,005.97 and 550,561,158,003.98

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Solution

The fourth proportional to 550,561,158,003.98, 825,841,737,005.97 and 550,561,158,003.98 is: 825,841,737,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,561,158,003.98 : 825,841,737,005.97 = 550,561,158,003.98 : x
  2. Step 2: Convert to fraction form
    550,561,158,003.98/825,841,737,005.97 = 550,561,158,003.98/x
  3. Step 3: Cross multiply
    550,561,158,003.98x = 825,841,737,005.97 × 550,561,158,003.98
  4. Step 4: Simplify right side
    550,561,158,003.98x = 454,676,383,054,025,105,342,464
  5. Step 5: Solve for x
    x = 454,676,383,054,025,105,342,464/550,561,158,003.98
  6. Step 6: Final answer
    x = 825,841,737,005.97

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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.