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Finding the Fourth Proportional to 594,933,601.96, 820,143,076.80 and 415,761,208.84

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Solution

The fourth proportional to 594,933,601.96, 820,143,076.80 and 415,761,208.84 is: 573,145,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,933,601.96 : 820,143,076.80 = 415,761,208.84 : x
  2. Step 2: Convert to fraction form
    594,933,601.96/820,143,076.80 = 415,761,208.84/x
  3. Step 3: Cross multiply
    594,933,601.96x = 820,143,076.80 × 415,761,208.84
  4. Step 4: Simplify right side
    594,933,601.96x = 340,983,677,032,124,928
  5. Step 5: Solve for x
    x = 340,983,677,032,124,928/594,933,601.96
  6. Step 6: Final answer
    x = 573,145,769.39

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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.