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Finding the Fourth Proportional to 494,798,163.50, 682,940,387.48 and 283,227,638.60

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Solution

The fourth proportional to 494,798,163.50, 682,940,387.48 and 283,227,638.60 is: 390,922,213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,798,163.50 : 682,940,387.48 = 283,227,638.60 : x
  2. Step 2: Convert to fraction form
    494,798,163.50/682,940,387.48 = 283,227,638.60/x
  3. Step 3: Cross multiply
    494,798,163.50x = 682,940,387.48 × 283,227,638.60
  4. Step 4: Simplify right side
    494,798,163.50x = 193,427,593,250,529,440
  5. Step 5: Solve for x
    x = 193,427,593,250,529,440/494,798,163.50
  6. Step 6: Final answer
    x = 390,922,213.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.