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Finding the Fourth Proportional to 271,408,117.30, 407,112,175.95 and 271,408,117.30

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Solution

The fourth proportional to 271,408,117.30, 407,112,175.95 and 271,408,117.30 is: 407,112,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,408,117.30 : 407,112,175.95 = 271,408,117.30 : x
  2. Step 2: Convert to fraction form
    271,408,117.30/407,112,175.95 = 271,408,117.30/x
  3. Step 3: Cross multiply
    271,408,117.30x = 407,112,175.95 × 271,408,117.30
  4. Step 4: Simplify right side
    271,408,117.30x = 110,493,549,204,495,840
  5. Step 5: Solve for x
    x = 110,493,549,204,495,840/271,408,117.30
  6. Step 6: Final answer
    x = 407,112,175.95

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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.