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Finding the Fourth Proportional to 90,782,614,101.30, 135,929,033,139.15 and 90,782,614,101.30

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Solution

The fourth proportional to 90,782,614,101.30, 135,929,033,139.15 and 90,782,614,101.30 is: 135,929,033,139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,782,614,101.30 : 135,929,033,139.15 = 90,782,614,101.30 : x
  2. Step 2: Convert to fraction form
    90,782,614,101.30/135,929,033,139.15 = 90,782,614,101.30/x
  3. Step 3: Cross multiply
    90,782,614,101.30x = 135,929,033,139.15 × 90,782,614,101.30
  4. Step 4: Simplify right side
    90,782,614,101.30x = 12,339,992,960,634,273,660,928
  5. Step 5: Solve for x
    x = 12,339,992,960,634,273,660,928/90,782,614,101.30
  6. Step 6: Final answer
    x = 135,929,033,139.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.