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Finding the Fourth Proportional to 271,640,512.48, 407,460,768.72 and 271,640,512.48

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Solution

The fourth proportional to 271,640,512.48, 407,460,768.72 and 271,640,512.48 is: 407,460,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,640,512.48 : 407,460,768.72 = 271,640,512.48 : x
  2. Step 2: Convert to fraction form
    271,640,512.48/407,460,768.72 = 271,640,512.48/x
  3. Step 3: Cross multiply
    271,640,512.48x = 407,460,768.72 × 271,640,512.48
  4. Step 4: Simplify right side
    271,640,512.48x = 110,682,852,027,200,048
  5. Step 5: Solve for x
    x = 110,682,852,027,200,048/271,640,512.48
  6. Step 6: Final answer
    x = 407,460,768.72

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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.