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Finding the Fourth Proportional to 550,561,158,045.24, 825,841,737,067.82 and 550,561,158,045.24

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Solution

The fourth proportional to 550,561,158,045.24, 825,841,737,067.82 and 550,561,158,045.24 is: 825,841,737,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,561,158,045.24 : 825,841,737,067.82 = 550,561,158,045.24 : x
  2. Step 2: Convert to fraction form
    550,561,158,045.24/825,841,737,067.82 = 550,561,158,045.24/x
  3. Step 3: Cross multiply
    550,561,158,045.24x = 825,841,737,067.82 × 550,561,158,045.24
  4. Step 4: Simplify right side
    550,561,158,045.24x = 454,676,383,122,151,541,047,296
  5. Step 5: Solve for x
    x = 454,676,383,122,151,541,047,296/550,561,158,045.24
  6. Step 6: Final answer
    x = 825,841,737,067.82

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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.