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Finding the Fourth Proportional to 214,876,200.15, 322,314,300.23 and 214,876,200.15

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Solution

The fourth proportional to 214,876,200.15, 322,314,300.23 and 214,876,200.15 is: 322,314,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,876,200.15 : 322,314,300.23 = 214,876,200.15 : x
  2. Step 2: Convert to fraction form
    214,876,200.15/322,314,300.23 = 214,876,200.15/x
  3. Step 3: Cross multiply
    214,876,200.15x = 322,314,300.23 × 214,876,200.15
  4. Step 4: Simplify right side
    214,876,200.15x = 69,257,672,086,354,296
  5. Step 5: Solve for x
    x = 69,257,672,086,354,296/214,876,200.15
  6. Step 6: Final answer
    x = 322,314,300.23

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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.