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Finding the Fourth Proportional to 82,441,806.70, 123,662,710.05 and 53,743,992.70

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Solution

The fourth proportional to 82,441,806.70, 123,662,710.05 and 53,743,992.70 is: 80,615,989.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,441,806.70 : 123,662,710.05 = 53,743,992.70 : x
  2. Step 2: Convert to fraction form
    82,441,806.70/123,662,710.05 = 53,743,992.70/x
  3. Step 3: Cross multiply
    82,441,806.70x = 123,662,710.05 × 53,743,992.70
  4. Step 4: Simplify right side
    82,441,806.70x = 6,646,127,786,189,417
  5. Step 5: Solve for x
    x = 6,646,127,786,189,417/82,441,806.70
  6. Step 6: Final answer
    x = 80,615,989.05

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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.