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Finding the Fourth Proportional to 333,072,149.80, 499,608,224.70 and 327,403,445.80

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Solution

The fourth proportional to 333,072,149.80, 499,608,224.70 and 327,403,445.80 is: 491,105,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,072,149.80 : 499,608,224.70 = 327,403,445.80 : x
  2. Step 2: Convert to fraction form
    333,072,149.80/499,608,224.70 = 327,403,445.80/x
  3. Step 3: Cross multiply
    333,072,149.80x = 499,608,224.70 × 327,403,445.80
  4. Step 4: Simplify right side
    333,072,149.80x = 163,573,454,316,800,672
  5. Step 5: Solve for x
    x = 163,573,454,316,800,672/333,072,149.80
  6. Step 6: Final answer
    x = 491,105,168.70

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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.