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Finding the Fourth Proportional to 550,561,158,022.73, 825,841,737,034.09 and 550,561,158,022.73

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Solution

The fourth proportional to 550,561,158,022.73, 825,841,737,034.09 and 550,561,158,022.73 is: 825,841,737,034.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,561,158,022.73 : 825,841,737,034.09 = 550,561,158,022.73 : x
  2. Step 2: Convert to fraction form
    550,561,158,022.73/825,841,737,034.09 = 550,561,158,022.73/x
  3. Step 3: Cross multiply
    550,561,158,022.73x = 825,841,737,034.09 × 550,561,158,022.73
  4. Step 4: Simplify right side
    550,561,158,022.73x = 454,676,383,084,991,416,893,440
  5. Step 5: Solve for x
    x = 454,676,383,084,991,416,893,440/550,561,158,022.73
  6. Step 6: Final answer
    x = 825,841,737,034.09

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Double scale
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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.