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Finding the Fourth Proportional to 594,933,817.76, 820,143,373.84 and 415,761,424.88

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Solution

The fourth proportional to 594,933,817.76, 820,143,373.84 and 415,761,424.88 is: 573,146,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,933,817.76 : 820,143,373.84 = 415,761,424.88 : x
  2. Step 2: Convert to fraction form
    594,933,817.76/820,143,373.84 = 415,761,424.88/x
  3. Step 3: Cross multiply
    594,933,817.76x = 820,143,373.84 × 415,761,424.88
  4. Step 4: Simplify right side
    594,933,817.76x = 340,983,977,713,608,896
  5. Step 5: Solve for x
    x = 340,983,977,713,608,896/594,933,817.76
  6. Step 6: Final answer
    x = 573,146,066.90

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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.