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Finding the Fourth Proportional to 413,855,968.40, 620,560,003.80 and 171,543,366.80

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Solution

The fourth proportional to 413,855,968.40, 620,560,003.80 and 171,543,366.80 is: 257,222,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,855,968.40 : 620,560,003.80 = 171,543,366.80 : x
  2. Step 2: Convert to fraction form
    413,855,968.40/620,560,003.80 = 171,543,366.80/x
  3. Step 3: Cross multiply
    413,855,968.40x = 620,560,003.80 × 171,543,366.80
  4. Step 4: Simplify right side
    413,855,968.40x = 106,452,952,353,272,800
  5. Step 5: Solve for x
    x = 106,452,952,353,272,800/413,855,968.40
  6. Step 6: Final answer
    x = 257,222,223.39

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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.