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Finding the Fourth Proportional to 541,728,003.80, 812,592,005.70 and 530,978,461.40

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Solution

The fourth proportional to 541,728,003.80, 812,592,005.70 and 530,978,461.40 is: 796,467,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,728,003.80 : 812,592,005.70 = 530,978,461.40 : x
  2. Step 2: Convert to fraction form
    541,728,003.80/812,592,005.70 = 530,978,461.40/x
  3. Step 3: Cross multiply
    541,728,003.80x = 812,592,005.70 × 530,978,461.40
  4. Step 4: Simplify right side
    541,728,003.80x = 431,468,852,932,526,016
  5. Step 5: Solve for x
    x = 431,468,852,932,526,016/541,728,003.80
  6. Step 6: Final answer
    x = 796,467,692.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.