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Finding the Fourth Proportional to 982,693,568,345.92, 1,474,040,352,518.90 and 982,693,568,345.92

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Solution

The fourth proportional to 982,693,568,345.92, 1,474,040,352,518.90 and 982,693,568,345.92 is: 1,474,040,352,518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,693,568,345.92 : 1,474,040,352,518.90 = 982,693,568,345.92 : x
  2. Step 2: Convert to fraction form
    982,693,568,345.92/1,474,040,352,518.90 = 982,693,568,345.92/x
  3. Step 3: Cross multiply
    982,693,568,345.92x = 1,474,040,352,518.90 × 982,693,568,345.92
  4. Step 4: Simplify right side
    982,693,568,345.92x = 1,448,529,973,902,675,607,027,712
  5. Step 5: Solve for x
    x = 1,448,529,973,902,675,607,027,712/982,693,568,345.92
  6. Step 6: Final answer
    x = 1,474,040,352,518.90

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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.