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Finding the Fourth Proportional to 340,132,230.90, 477,092,115.90 and 340,132,230.90

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Solution

The fourth proportional to 340,132,230.90, 477,092,115.90 and 340,132,230.90 is: 477,092,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,132,230.90 : 477,092,115.90 = 340,132,230.90 : x
  2. Step 2: Convert to fraction form
    340,132,230.90/477,092,115.90 = 340,132,230.90/x
  3. Step 3: Cross multiply
    340,132,230.90x = 477,092,115.90 × 340,132,230.90
  4. Step 4: Simplify right side
    340,132,230.90x = 162,274,405,725,868,352
  5. Step 5: Solve for x
    x = 162,274,405,725,868,352/340,132,230.90
  6. Step 6: Final answer
    x = 477,092,115.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.