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Finding the Fourth Proportional to 365,581,796.40, 548,023,163.40 and 135,489,178.80

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Solution

The fourth proportional to 365,581,796.40, 548,023,163.40 and 135,489,178.80 is: 203,104,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,581,796.40 : 548,023,163.40 = 135,489,178.80 : x
  2. Step 2: Convert to fraction form
    365,581,796.40/548,023,163.40 = 135,489,178.80/x
  3. Step 3: Cross multiply
    365,581,796.40x = 548,023,163.40 × 135,489,178.80
  4. Step 4: Simplify right side
    365,581,796.40x = 74,251,208,372,444,224
  5. Step 5: Solve for x
    x = 74,251,208,372,444,224/365,581,796.40
  6. Step 6: Final answer
    x = 203,104,227.57

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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.