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Finding the Fourth Proportional to 322,369,836.82, 483,507,516.03 and 158,563,624.30

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Solution

The fourth proportional to 322,369,836.82, 483,507,516.03 and 158,563,624.30 is: 237,822,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,369,836.82 : 483,507,516.03 = 158,563,624.30 : x
  2. Step 2: Convert to fraction form
    322,369,836.82/483,507,516.03 = 158,563,624.30/x
  3. Step 3: Cross multiply
    322,369,836.82x = 483,507,516.03 × 158,563,624.30
  4. Step 4: Simplify right side
    322,369,836.82x = 76,666,704,116,203,776
  5. Step 5: Solve for x
    x = 76,666,704,116,203,776/322,369,836.82
  6. Step 6: Final answer
    x = 237,822,200.96

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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.