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Finding the Fourth Proportional to 105,855,174,020.73, 158,782,761,031.09 and 105,855,174,020.73

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Solution

The fourth proportional to 105,855,174,020.73, 158,782,761,031.09 and 105,855,174,020.73 is: 158,782,761,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,855,174,020.73 : 158,782,761,031.09 = 105,855,174,020.73 : x
  2. Step 2: Convert to fraction form
    105,855,174,020.73/158,782,761,031.09 = 105,855,174,020.73/x
  3. Step 3: Cross multiply
    105,855,174,020.73x = 158,782,761,031.09 × 105,855,174,020.73
  4. Step 4: Simplify right side
    105,855,174,020.73x = 16,807,976,800,438,016,016,384
  5. Step 5: Solve for x
    x = 16,807,976,800,438,016,016,384/105,855,174,020.73
  6. Step 6: Final answer
    x = 158,782,761,031.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.