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Finding the Fourth Proportional to 275,663,135.40, 413,494,703.10 and 275,663,135.40

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Solution

The fourth proportional to 275,663,135.40, 413,494,703.10 and 275,663,135.40 is: 413,494,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,663,135.40 : 413,494,703.10 = 275,663,135.40 : x
  2. Step 2: Convert to fraction form
    275,663,135.40/413,494,703.10 = 275,663,135.40/x
  3. Step 3: Cross multiply
    275,663,135.40x = 413,494,703.10 × 275,663,135.40
  4. Step 4: Simplify right side
    275,663,135.40x = 113,985,246,327,838,096
  5. Step 5: Solve for x
    x = 113,985,246,327,838,096/275,663,135.40
  6. Step 6: Final answer
    x = 413,494,703.10

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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.