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Finding the Fourth Proportional to 214,876,190.76, 322,314,286.14 and 214,876,190.76

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Solution

The fourth proportional to 214,876,190.76, 322,314,286.14 and 214,876,190.76 is: 322,314,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,876,190.76 : 322,314,286.14 = 214,876,190.76 : x
  2. Step 2: Convert to fraction form
    214,876,190.76/322,314,286.14 = 214,876,190.76/x
  3. Step 3: Cross multiply
    214,876,190.76x = 322,314,286.14 × 214,876,190.76
  4. Step 4: Simplify right side
    214,876,190.76x = 69,257,666,032,083,184
  5. Step 5: Solve for x
    x = 69,257,666,032,083,184/214,876,190.76
  6. Step 6: Final answer
    x = 322,314,286.14

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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.