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Finding the Fourth Proportional to 449,093,645.96, 673,664,259.23 and 138,414,649.00

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Solution

The fourth proportional to 449,093,645.96, 673,664,259.23 and 138,414,649.00 is: 207,629,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,093,645.96 : 673,664,259.23 = 138,414,649.00 : x
  2. Step 2: Convert to fraction form
    449,093,645.96/673,664,259.23 = 138,414,649.00/x
  3. Step 3: Cross multiply
    449,093,645.96x = 673,664,259.23 × 138,414,649.00
  4. Step 4: Simplify right side
    449,093,645.96x = 93,245,001,984,574,768
  5. Step 5: Solve for x
    x = 93,245,001,984,574,768/449,093,645.96
  6. Step 6: Final answer
    x = 207,629,305.88

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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.