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Finding the Fourth Proportional to 550,561,168,909.10, 825,841,753,363.60 and 550,561,168,909.10

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Solution

The fourth proportional to 550,561,168,909.10, 825,841,753,363.60 and 550,561,168,909.10 is: 825,841,753,363.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,561,168,909.10 : 825,841,753,363.60 = 550,561,168,909.10 : x
  2. Step 2: Convert to fraction form
    550,561,168,909.10/825,841,753,363.60 = 550,561,168,909.10/x
  3. Step 3: Cross multiply
    550,561,168,909.10x = 825,841,753,363.60 × 550,561,168,909.10
  4. Step 4: Simplify right side
    550,561,168,909.10x = 454,676,401,065,804,221,644,800
  5. Step 5: Solve for x
    x = 454,676,401,065,804,221,644,800/550,561,168,909.10
  6. Step 6: Final answer
    x = 825,841,753,363.60

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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.