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Finding the Fourth Proportional to 217,735,400.40, 305,232,668.40 and 217,735,400.40

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Solution

The fourth proportional to 217,735,400.40, 305,232,668.40 and 217,735,400.40 is: 305,232,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,735,400.40 : 305,232,668.40 = 217,735,400.40 : x
  2. Step 2: Convert to fraction form
    217,735,400.40/305,232,668.40 = 217,735,400.40/x
  3. Step 3: Cross multiply
    217,735,400.40x = 305,232,668.40 × 217,735,400.40
  4. Step 4: Simplify right side
    217,735,400.40x = 66,459,957,269,234,424
  5. Step 5: Solve for x
    x = 66,459,957,269,234,424/217,735,400.40
  6. Step 6: Final answer
    x = 305,232,668.40

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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.