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Finding the Fourth Proportional to 489,901,504.60, 734,852,256.90 and 486,500,282.20

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Solution

The fourth proportional to 489,901,504.60, 734,852,256.90 and 486,500,282.20 is: 729,750,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,901,504.60 : 734,852,256.90 = 486,500,282.20 : x
  2. Step 2: Convert to fraction form
    489,901,504.60/734,852,256.90 = 486,500,282.20/x
  3. Step 3: Cross multiply
    489,901,504.60x = 734,852,256.90 × 486,500,282.20
  4. Step 4: Simplify right side
    489,901,504.60x = 357,505,830,357,156,864
  5. Step 5: Solve for x
    x = 357,505,830,357,156,864/489,901,504.60
  6. Step 6: Final answer
    x = 729,750,423.30

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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.