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Finding the Fourth Proportional to 489,401,129.80, 734,101,694.70 and 295,909,366.60

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Solution

The fourth proportional to 489,401,129.80, 734,101,694.70 and 295,909,366.60 is: 443,864,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,401,129.80 : 734,101,694.70 = 295,909,366.60 : x
  2. Step 2: Convert to fraction form
    489,401,129.80/734,101,694.70 = 295,909,366.60/x
  3. Step 3: Cross multiply
    489,401,129.80x = 734,101,694.70 × 295,909,366.60
  4. Step 4: Simplify right side
    489,401,129.80x = 217,227,567,498,663,616
  5. Step 5: Solve for x
    x = 217,227,567,498,663,616/489,401,129.80
  6. Step 6: Final answer
    x = 443,864,049.90

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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.