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Finding the Fourth Proportional to 342,149,608.80, 512,216,643.60 and 322,218,165.60

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Solution

The fourth proportional to 342,149,608.80, 512,216,643.60 and 322,218,165.60 is: 482,378,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,149,608.80 : 512,216,643.60 = 322,218,165.60 : x
  2. Step 2: Convert to fraction form
    342,149,608.80/512,216,643.60 = 322,218,165.60/x
  3. Step 3: Cross multiply
    342,149,608.80x = 512,216,643.60 × 322,218,165.60
  4. Step 4: Simplify right side
    342,149,608.80x = 165,045,507,290,580,992
  5. Step 5: Solve for x
    x = 165,045,507,290,580,992/342,149,608.80
  6. Step 6: Final answer
    x = 482,378,185.00

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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.