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Finding the Fourth Proportional to 25,649,144,200.20, 38,412,494,297.10 and 25,649,144,200.20

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Solution

The fourth proportional to 25,649,144,200.20, 38,412,494,297.10 and 25,649,144,200.20 is: 38,412,494,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649,144,200.20 : 38,412,494,297.10 = 25,649,144,200.20 : x
  2. Step 2: Convert to fraction form
    25,649,144,200.20/38,412,494,297.10 = 25,649,144,200.20/x
  3. Step 3: Cross multiply
    25,649,144,200.20x = 38,412,494,297.10 × 25,649,144,200.20
  4. Step 4: Simplify right side
    25,649,144,200.20x = 985,247,605,315,677,978,624
  5. Step 5: Solve for x
    x = 985,247,605,315,677,978,624/25,649,144,200.20
  6. Step 6: Final answer
    x = 38,412,494,297.10

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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.