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Finding the Fourth Proportional to 559,876,891.40, 839,815,337.10 and 196,324,008.20

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Solution

The fourth proportional to 559,876,891.40, 839,815,337.10 and 196,324,008.20 is: 294,486,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,876,891.40 : 839,815,337.10 = 196,324,008.20 : x
  2. Step 2: Convert to fraction form
    559,876,891.40/839,815,337.10 = 196,324,008.20/x
  3. Step 3: Cross multiply
    559,876,891.40x = 839,815,337.10 × 196,324,008.20
  4. Step 4: Simplify right side
    559,876,891.40x = 164,875,913,127,306,144
  5. Step 5: Solve for x
    x = 164,875,913,127,306,144/559,876,891.40
  6. Step 6: Final answer
    x = 294,486,012.30

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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.