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Finding the Fourth Proportional to 260,761,147,231.20, 391,141,720,846.80 and 260,761,147,231.20

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Solution

The fourth proportional to 260,761,147,231.20, 391,141,720,846.80 and 260,761,147,231.20 is: 391,141,720,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,761,147,231.20 : 391,141,720,846.80 = 260,761,147,231.20 : x
  2. Step 2: Convert to fraction form
    260,761,147,231.20/391,141,720,846.80 = 260,761,147,231.20/x
  3. Step 3: Cross multiply
    260,761,147,231.20x = 391,141,720,846.80 × 260,761,147,231.20
  4. Step 4: Simplify right side
    260,761,147,231.20x = 101,994,563,857,997,346,373,632
  5. Step 5: Solve for x
    x = 101,994,563,857,997,346,373,632/260,761,147,231.20
  6. Step 6: Final answer
    x = 391,141,720,846.80

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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.