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Finding the Fourth Proportional to 387,469,817,999.40, 581,204,726,999.10 and 387,469,817,999.40

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Solution

The fourth proportional to 387,469,817,999.40, 581,204,726,999.10 and 387,469,817,999.40 is: 581,204,726,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,469,817,999.40 : 581,204,726,999.10 = 387,469,817,999.40 : x
  2. Step 2: Convert to fraction form
    387,469,817,999.40/581,204,726,999.10 = 387,469,817,999.40/x
  3. Step 3: Cross multiply
    387,469,817,999.40x = 581,204,726,999.10 × 387,469,817,999.40
  4. Step 4: Simplify right side
    387,469,817,999.40x = 225,199,289,790,732,244,615,168
  5. Step 5: Solve for x
    x = 225,199,289,790,732,244,615,168/387,469,817,999.40
  6. Step 6: Final answer
    x = 581,204,726,999.10

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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.