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Finding the Fourth Proportional to 330,813,611.20, 496,220,416.80 and 330,813,611.20

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Solution

The fourth proportional to 330,813,611.20, 496,220,416.80 and 330,813,611.20 is: 496,220,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,813,611.20 : 496,220,416.80 = 330,813,611.20 : x
  2. Step 2: Convert to fraction form
    330,813,611.20/496,220,416.80 = 330,813,611.20/x
  3. Step 3: Cross multiply
    330,813,611.20x = 496,220,416.80 × 330,813,611.20
  4. Step 4: Simplify right side
    330,813,611.20x = 164,156,468,032,777,152
  5. Step 5: Solve for x
    x = 164,156,468,032,777,152/330,813,611.20
  6. Step 6: Final answer
    x = 496,220,416.80

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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.