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Finding the Fourth Proportional to 271,640,512.35, 407,460,768.54 and 271,640,512.35

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Solution

The fourth proportional to 271,640,512.35, 407,460,768.54 and 271,640,512.35 is: 407,460,768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,640,512.35 : 407,460,768.54 = 271,640,512.35 : x
  2. Step 2: Convert to fraction form
    271,640,512.35/407,460,768.54 = 271,640,512.35/x
  3. Step 3: Cross multiply
    271,640,512.35x = 407,460,768.54 × 271,640,512.35
  4. Step 4: Simplify right side
    271,640,512.35x = 110,682,851,927,372,176
  5. Step 5: Solve for x
    x = 110,682,851,927,372,176/271,640,512.35
  6. Step 6: Final answer
    x = 407,460,768.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.