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Finding the Fourth Proportional to 488,741,693.40, 733,112,540.10 and 333,773,497.80

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Solution

The fourth proportional to 488,741,693.40, 733,112,540.10 and 333,773,497.80 is: 500,660,246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,741,693.40 : 733,112,540.10 = 333,773,497.80 : x
  2. Step 2: Convert to fraction form
    488,741,693.40/733,112,540.10 = 333,773,497.80/x
  3. Step 3: Cross multiply
    488,741,693.40x = 733,112,540.10 × 333,773,497.80
  4. Step 4: Simplify right side
    488,741,693.40x = 244,693,536,790,219,776
  5. Step 5: Solve for x
    x = 244,693,536,790,219,776/488,741,693.40
  6. Step 6: Final answer
    x = 500,660,246.70

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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.