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Finding the Fourth Proportional to 271,640,507.60, 407,460,761.40 and 271,640,507.60

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Solution

The fourth proportional to 271,640,507.60, 407,460,761.40 and 271,640,507.60 is: 407,460,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,640,507.60 : 407,460,761.40 = 271,640,507.60 : x
  2. Step 2: Convert to fraction form
    271,640,507.60/407,460,761.40 = 271,640,507.60/x
  3. Step 3: Cross multiply
    271,640,507.60x = 407,460,761.40 × 271,640,507.60
  4. Step 4: Simplify right side
    271,640,507.60x = 110,682,848,053,778,496
  5. Step 5: Solve for x
    x = 110,682,848,053,778,496/271,640,507.60
  6. Step 6: Final answer
    x = 407,460,761.40

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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.