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Finding the Fourth Proportional to 272,974,682.80, 409,462,024.20 and 204,950,234.80

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Solution

The fourth proportional to 272,974,682.80, 409,462,024.20 and 204,950,234.80 is: 307,425,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,974,682.80 : 409,462,024.20 = 204,950,234.80 : x
  2. Step 2: Convert to fraction form
    272,974,682.80/409,462,024.20 = 204,950,234.80/x
  3. Step 3: Cross multiply
    272,974,682.80x = 409,462,024.20 × 204,950,234.80
  4. Step 4: Simplify right side
    272,974,682.80x = 83,919,338,001,473,280
  5. Step 5: Solve for x
    x = 83,919,338,001,473,280/272,974,682.80
  6. Step 6: Final answer
    x = 307,425,352.20

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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.