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Finding the Fourth Proportional to 264,459,747.60, 396,745,608.60 and 80,212,093.20

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Solution

The fourth proportional to 264,459,747.60, 396,745,608.60 and 80,212,093.20 is: 120,335,121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,459,747.60 : 396,745,608.60 = 80,212,093.20 : x
  2. Step 2: Convert to fraction form
    264,459,747.60/396,745,608.60 = 80,212,093.20/x
  3. Step 3: Cross multiply
    264,459,747.60x = 396,745,608.60 × 80,212,093.20
  4. Step 4: Simplify right side
    264,459,747.60x = 31,823,795,733,713,924
  5. Step 5: Solve for x
    x = 31,823,795,733,713,924/264,459,747.60
  6. Step 6: Final answer
    x = 120,335,121.03

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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.