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Finding the Fourth Proportional to 214,667,712.30, 322,001,568.45 and 214,667,712.30

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Solution

The fourth proportional to 214,667,712.30, 322,001,568.45 and 214,667,712.30 is: 322,001,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,667,712.30 : 322,001,568.45 = 214,667,712.30 : x
  2. Step 2: Convert to fraction form
    214,667,712.30/322,001,568.45 = 214,667,712.30/x
  3. Step 3: Cross multiply
    214,667,712.30x = 322,001,568.45 × 214,667,712.30
  4. Step 4: Simplify right side
    214,667,712.30x = 69,123,340,056,173,360
  5. Step 5: Solve for x
    x = 69,123,340,056,173,360/214,667,712.30
  6. Step 6: Final answer
    x = 322,001,568.45

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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.