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Finding the Fourth Proportional to 489,907,339.20, 734,861,008.80 and 296,037,662.40

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Solution

The fourth proportional to 489,907,339.20, 734,861,008.80 and 296,037,662.40 is: 444,056,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,907,339.20 : 734,861,008.80 = 296,037,662.40 : x
  2. Step 2: Convert to fraction form
    489,907,339.20/734,861,008.80 = 296,037,662.40/x
  3. Step 3: Cross multiply
    489,907,339.20x = 734,861,008.80 × 296,037,662.40
  4. Step 4: Simplify right side
    489,907,339.20x = 217,546,535,234,057,792
  5. Step 5: Solve for x
    x = 217,546,535,234,057,792/489,907,339.20
  6. Step 6: Final answer
    x = 444,056,493.60

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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.