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Finding the Fourth Proportional to 260,764,523.20, 365,607,809.60 and 260,764,523.20

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Solution

The fourth proportional to 260,764,523.20, 365,607,809.60 and 260,764,523.20 is: 365,607,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,764,523.20 : 365,607,809.60 = 260,764,523.20 : x
  2. Step 2: Convert to fraction form
    260,764,523.20/365,607,809.60 = 260,764,523.20/x
  3. Step 3: Cross multiply
    260,764,523.20x = 365,607,809.60 × 260,764,523.20
  4. Step 4: Simplify right side
    260,764,523.20x = 95,337,546,148,540,384
  5. Step 5: Solve for x
    x = 95,337,546,148,540,384/260,764,523.20
  6. Step 6: Final answer
    x = 365,607,809.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.