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Finding the Fourth Proportional to 214,667,051.10, 322,000,576.65 and 214,667,051.10

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Solution

The fourth proportional to 214,667,051.10, 322,000,576.65 and 214,667,051.10 is: 322,000,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,667,051.10 : 322,000,576.65 = 214,667,051.10 : x
  2. Step 2: Convert to fraction form
    214,667,051.10/322,000,576.65 = 214,667,051.10/x
  3. Step 3: Cross multiply
    214,667,051.10x = 322,000,576.65 × 214,667,051.10
  4. Step 4: Simplify right side
    214,667,051.10x = 69,122,914,241,955,008
  5. Step 5: Solve for x
    x = 69,122,914,241,955,008/214,667,051.10
  6. Step 6: Final answer
    x = 322,000,576.65

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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.