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Finding the Fourth Proportional to 271,408,101.55, 407,112,152.33 and 271,408,101.55

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Solution

The fourth proportional to 271,408,101.55, 407,112,152.33 and 271,408,101.55 is: 407,112,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,408,101.55 : 407,112,152.33 = 271,408,101.55 : x
  2. Step 2: Convert to fraction form
    271,408,101.55/407,112,152.33 = 271,408,101.55/x
  3. Step 3: Cross multiply
    271,408,101.55x = 407,112,152.33 × 271,408,101.55
  4. Step 4: Simplify right side
    271,408,101.55x = 110,493,536,380,462,672
  5. Step 5: Solve for x
    x = 110,493,536,380,462,672/271,408,101.55
  6. Step 6: Final answer
    x = 407,112,152.33

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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.