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Finding the Fourth Proportional to 271,486,353.45, 407,229,530.18 and 271,486,353.45

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Solution

The fourth proportional to 271,486,353.45, 407,229,530.18 and 271,486,353.45 is: 407,229,530.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,486,353.45 : 407,229,530.18 = 271,486,353.45 : x
  2. Step 2: Convert to fraction form
    271,486,353.45/407,229,530.18 = 271,486,353.45/x
  3. Step 3: Cross multiply
    271,486,353.45x = 407,229,530.18 × 271,486,353.45
  4. Step 4: Simplify right side
    271,486,353.45x = 110,557,260,164,367,488
  5. Step 5: Solve for x
    x = 110,557,260,164,367,488/271,486,353.45
  6. Step 6: Final answer
    x = 407,229,530.18

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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.