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Finding the Fourth Proportional to 105,855,174,019.73, 158,782,761,029.59 and 105,855,174,019.73

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Solution

The fourth proportional to 105,855,174,019.73, 158,782,761,029.59 and 105,855,174,019.73 is: 158,782,761,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,855,174,019.73 : 158,782,761,029.59 = 105,855,174,019.73 : x
  2. Step 2: Convert to fraction form
    105,855,174,019.73/158,782,761,029.59 = 105,855,174,019.73/x
  3. Step 3: Cross multiply
    105,855,174,019.73x = 158,782,761,029.59 × 105,855,174,019.73
  4. Step 4: Simplify right side
    105,855,174,019.73x = 16,807,976,800,120,450,580,480
  5. Step 5: Solve for x
    x = 16,807,976,800,120,450,580,480/105,855,174,019.73
  6. Step 6: Final answer
    x = 158,782,761,029.59

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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.