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Finding the Fourth Proportional to 594,738,644.98, 820,691,212.20 and 343,859,133.10

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Solution

The fourth proportional to 594,738,644.98, 820,691,212.20 and 343,859,133.10 is: 474,497,783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,738,644.98 : 820,691,212.20 = 343,859,133.10 : x
  2. Step 2: Convert to fraction form
    594,738,644.98/820,691,212.20 = 343,859,133.10/x
  3. Step 3: Cross multiply
    594,738,644.98x = 820,691,212.20 × 343,859,133.10
  4. Step 4: Simplify right side
    594,738,644.98x = 282,202,168,769,880,192
  5. Step 5: Solve for x
    x = 282,202,168,769,880,192/594,738,644.98
  6. Step 6: Final answer
    x = 474,497,783.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.