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Finding the Fourth Proportional to 82,019,968.20, 123,029,952.30 and 43,661,737.80

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Solution

The fourth proportional to 82,019,968.20, 123,029,952.30 and 43,661,737.80 is: 65,492,606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,019,968.20 : 123,029,952.30 = 43,661,737.80 : x
  2. Step 2: Convert to fraction form
    82,019,968.20/123,029,952.30 = 43,661,737.80/x
  3. Step 3: Cross multiply
    82,019,968.20x = 123,029,952.30 × 43,661,737.80
  4. Step 4: Simplify right side
    82,019,968.20x = 5,371,701,518,869,106
  5. Step 5: Solve for x
    x = 5,371,701,518,869,106/82,019,968.20
  6. Step 6: Final answer
    x = 65,492,606.70

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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.