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Finding the Fourth Proportional to 275,483,573.78, 380,194,184.68 and 205,747,885.76

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Solution

The fourth proportional to 275,483,573.78, 380,194,184.68 and 205,747,885.76 is: 283,952,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,483,573.78 : 380,194,184.68 = 205,747,885.76 : x
  2. Step 2: Convert to fraction form
    275,483,573.78/380,194,184.68 = 205,747,885.76/x
  3. Step 3: Cross multiply
    275,483,573.78x = 380,194,184.68 × 205,747,885.76
  4. Step 4: Simplify right side
    275,483,573.78x = 78,224,149,674,177,760
  5. Step 5: Solve for x
    x = 78,224,149,674,177,760/275,483,573.78
  6. Step 6: Final answer
    x = 283,952,137.70

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