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Finding the Fourth Proportional to 90,782,614,099.80, 135,929,033,136.90 and 90,782,614,099.80

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Solution

The fourth proportional to 90,782,614,099.80, 135,929,033,136.90 and 90,782,614,099.80 is: 135,929,033,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,782,614,099.80 : 135,929,033,136.90 = 90,782,614,099.80 : x
  2. Step 2: Convert to fraction form
    90,782,614,099.80/135,929,033,136.90 = 90,782,614,099.80/x
  3. Step 3: Cross multiply
    90,782,614,099.80x = 135,929,033,136.90 × 90,782,614,099.80
  4. Step 4: Simplify right side
    90,782,614,099.80x = 12,339,992,960,226,119,647,232
  5. Step 5: Solve for x
    x = 12,339,992,960,226,119,647,232/90,782,614,099.80
  6. Step 6: Final answer
    x = 135,929,033,136.90

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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.