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Finding the Fourth Proportional to 930,986,216,999.80, 1,396,479,325,499.80 and 930,986,216,999.80

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Solution

The fourth proportional to 930,986,216,999.80, 1,396,479,325,499.80 and 930,986,216,999.80 is: 1,396,479,325,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,986,216,999.80 : 1,396,479,325,499.80 = 930,986,216,999.80 : x
  2. Step 2: Convert to fraction form
    930,986,216,999.80/1,396,479,325,499.80 = 930,986,216,999.80/x
  3. Step 3: Cross multiply
    930,986,216,999.80x = 1,396,479,325,499.80 × 930,986,216,999.80
  4. Step 4: Simplify right side
    930,986,216,999.80x = 1,300,103,004,365,491,233,882,112
  5. Step 5: Solve for x
    x = 1,300,103,004,365,491,233,882,112/930,986,216,999.80
  6. Step 6: Final answer
    x = 1,396,479,325,499.80

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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.