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Finding the Fourth Proportional to 594,933,818.76, 820,143,375.22 and 415,761,425.88

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Solution

The fourth proportional to 594,933,818.76, 820,143,375.22 and 415,761,425.88 is: 573,146,068.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,933,818.76 : 820,143,375.22 = 415,761,425.88 : x
  2. Step 2: Convert to fraction form
    594,933,818.76/820,143,375.22 = 415,761,425.88/x
  3. Step 3: Cross multiply
    594,933,818.76x = 820,143,375.22 × 415,761,425.88
  4. Step 4: Simplify right side
    594,933,818.76x = 340,983,979,107,503,040
  5. Step 5: Solve for x
    x = 340,983,979,107,503,040/594,933,818.76
  6. Step 6: Final answer
    x = 573,146,068.28

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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.