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Finding the Fourth Proportional to 399,444,276.80, 599,166,415.20 and 338,978,100.80

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Solution

The fourth proportional to 399,444,276.80, 599,166,415.20 and 338,978,100.80 is: 508,467,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,444,276.80 : 599,166,415.20 = 338,978,100.80 : x
  2. Step 2: Convert to fraction form
    399,444,276.80/599,166,415.20 = 338,978,100.80/x
  3. Step 3: Cross multiply
    399,444,276.80x = 599,166,415.20 × 338,978,100.80
  4. Step 4: Simplify right side
    399,444,276.80x = 203,104,293,487,640,288
  5. Step 5: Solve for x
    x = 203,104,293,487,640,288/399,444,276.80
  6. Step 6: Final answer
    x = 508,467,151.20

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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.