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Finding the Fourth Proportional to 82,996,998.30, 124,271,548.65 and 82,996,998.30

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Solution

The fourth proportional to 82,996,998.30, 124,271,548.65 and 82,996,998.30 is: 124,271,548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,996,998.30 : 124,271,548.65 = 82,996,998.30 : x
  2. Step 2: Convert to fraction form
    82,996,998.30/124,271,548.65 = 82,996,998.30/x
  3. Step 3: Cross multiply
    82,996,998.30x = 124,271,548.65 × 82,996,998.30
  4. Step 4: Simplify right side
    82,996,998.30x = 10,314,165,512,042,418
  5. Step 5: Solve for x
    x = 10,314,165,512,042,418/82,996,998.30
  6. Step 6: Final answer
    x = 124,271,548.65

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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.