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Finding the Fourth Proportional to 82,298,813.60, 123,448,220.40 and 41,484,144.80

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Solution

The fourth proportional to 82,298,813.60, 123,448,220.40 and 41,484,144.80 is: 62,226,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,298,813.60 : 123,448,220.40 = 41,484,144.80 : x
  2. Step 2: Convert to fraction form
    82,298,813.60/123,448,220.40 = 41,484,144.80/x
  3. Step 3: Cross multiply
    82,298,813.60x = 123,448,220.40 × 41,484,144.80
  4. Step 4: Simplify right side
    82,298,813.60x = 5,121,143,850,375,914
  5. Step 5: Solve for x
    x = 5,121,143,850,375,914/82,298,813.60
  6. Step 6: Final answer
    x = 62,226,217.20

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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.