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Finding the Fourth Proportional to 982,693,590,684.83, 1,474,040,386,027.20 and 982,693,590,684.83

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Solution

The fourth proportional to 982,693,590,684.83, 1,474,040,386,027.20 and 982,693,590,684.83 is: 1,474,040,386,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,693,590,684.83 : 1,474,040,386,027.20 = 982,693,590,684.83 : x
  2. Step 2: Convert to fraction form
    982,693,590,684.83/1,474,040,386,027.20 = 982,693,590,684.83/x
  3. Step 3: Cross multiply
    982,693,590,684.83x = 1,474,040,386,027.20 × 982,693,590,684.83
  4. Step 4: Simplify right side
    982,693,590,684.83x = 1,448,530,039,759,522,012,069,888
  5. Step 5: Solve for x
    x = 1,448,530,039,759,522,012,069,888/982,693,590,684.83
  6. Step 6: Final answer
    x = 1,474,040,386,027.20

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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.