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Finding the Fourth Proportional to 20,178,120,739.70, 30,267,181,109.55 and 20,178,120,739.70

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Solution

The fourth proportional to 20,178,120,739.70, 30,267,181,109.55 and 20,178,120,739.70 is: 30,267,181,109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178,120,739.70 : 30,267,181,109.55 = 20,178,120,739.70 : x
  2. Step 2: Convert to fraction form
    20,178,120,739.70/30,267,181,109.55 = 20,178,120,739.70/x
  3. Step 3: Cross multiply
    20,178,120,739.70x = 30,267,181,109.55 × 20,178,120,739.70
  4. Step 4: Simplify right side
    20,178,120,739.70x = 610,734,834,878,866,915,328
  5. Step 5: Solve for x
    x = 610,734,834,878,866,915,328/20,178,120,739.70
  6. Step 6: Final answer
    x = 30,267,181,109.55

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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.