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Finding the Fourth Proportional to 82,765,905.30, 124,148,857.95 and 82,765,905.30

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Solution

The fourth proportional to 82,765,905.30, 124,148,857.95 and 82,765,905.30 is: 124,148,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,765,905.30 : 124,148,857.95 = 82,765,905.30 : x
  2. Step 2: Convert to fraction form
    82,765,905.30/124,148,857.95 = 82,765,905.30/x
  3. Step 3: Cross multiply
    82,765,905.30x = 124,148,857.95 × 82,765,905.30
  4. Step 4: Simplify right side
    82,765,905.30x = 10,275,292,620,192,852
  5. Step 5: Solve for x
    x = 10,275,292,620,192,852/82,765,905.30
  6. Step 6: Final answer
    x = 124,148,857.95

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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.