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Finding the Fourth Proportional to 217,837,400.40, 305,737,635.60 and 217,837,400.40

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Solution

The fourth proportional to 217,837,400.40, 305,737,635.60 and 217,837,400.40 is: 305,737,635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,837,400.40 : 305,737,635.60 = 217,837,400.40 : x
  2. Step 2: Convert to fraction form
    217,837,400.40/305,737,635.60 = 217,837,400.40/x
  3. Step 3: Cross multiply
    217,837,400.40x = 305,737,635.60 × 217,837,400.40
  4. Step 4: Simplify right side
    217,837,400.40x = 66,601,091,743,546,504
  5. Step 5: Solve for x
    x = 66,601,091,743,546,504/217,837,400.40
  6. Step 6: Final answer
    x = 305,737,635.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.