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Finding the Fourth Proportional to 573,086,049.40, 857,645,027.70 and 343,220,102.20

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Solution

The fourth proportional to 573,086,049.40, 857,645,027.70 and 343,220,102.20 is: 513,641,911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,086,049.40 : 857,645,027.70 = 343,220,102.20 : x
  2. Step 2: Convert to fraction form
    573,086,049.40/857,645,027.70 = 343,220,102.20/x
  3. Step 3: Cross multiply
    573,086,049.40x = 857,645,027.70 × 343,220,102.20
  4. Step 4: Simplify right side
    573,086,049.40x = 294,361,014,058,515,840
  5. Step 5: Solve for x
    x = 294,361,014,058,515,840/573,086,049.40
  6. Step 6: Final answer
    x = 513,641,911.83

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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.