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Finding the Fourth Proportional to 90,986,976,064.80, 136,235,576,084.40 and 90,986,976,064.80

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Solution

The fourth proportional to 90,986,976,064.80, 136,235,576,084.40 and 90,986,976,064.80 is: 136,235,576,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,986,976,064.80 : 136,235,576,084.40 = 90,986,976,064.80 : x
  2. Step 2: Convert to fraction form
    90,986,976,064.80/136,235,576,084.40 = 90,986,976,064.80/x
  3. Step 3: Cross multiply
    90,986,976,064.80x = 136,235,576,084.40 × 90,986,976,064.80
  4. Step 4: Simplify right side
    90,986,976,064.80x = 12,395,663,100,365,542,260,736
  5. Step 5: Solve for x
    x = 12,395,663,100,365,542,260,736/90,986,976,064.80
  6. Step 6: Final answer
    x = 136,235,576,084.40

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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.