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Finding the Fourth Proportional to 279,935,999.60, 419,903,999.40 and 269,732,332.40

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Solution

The fourth proportional to 279,935,999.60, 419,903,999.40 and 269,732,332.40 is: 404,598,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,935,999.60 : 419,903,999.40 = 269,732,332.40 : x
  2. Step 2: Convert to fraction form
    279,935,999.60/419,903,999.40 = 269,732,332.40/x
  3. Step 3: Cross multiply
    279,935,999.60x = 419,903,999.40 × 269,732,332.40
  4. Step 4: Simplify right side
    279,935,999.60x = 113,261,685,142,250,192
  5. Step 5: Solve for x
    x = 113,261,685,142,250,192/279,935,999.60
  6. Step 6: Final answer
    x = 404,598,498.60

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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.