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Finding the Fourth Proportional to 594,738,645.48, 820,691,212.89 and 343,859,133.60

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Solution

The fourth proportional to 594,738,645.48, 820,691,212.89 and 343,859,133.60 is: 474,497,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,738,645.48 : 820,691,212.89 = 343,859,133.60 : x
  2. Step 2: Convert to fraction form
    594,738,645.48/820,691,212.89 = 343,859,133.60/x
  3. Step 3: Cross multiply
    594,738,645.48x = 820,691,212.89 × 343,859,133.60
  4. Step 4: Simplify right side
    594,738,645.48x = 282,202,169,417,488,576
  5. Step 5: Solve for x
    x = 282,202,169,417,488,576/594,738,645.48
  6. Step 6: Final answer
    x = 474,497,784.13

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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.