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Finding the Fourth Proportional to 421,441,796.70, 632,162,695.05 and 421,441,796.70

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Solution

The fourth proportional to 421,441,796.70, 632,162,695.05 and 421,441,796.70 is: 632,162,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,441,796.70 : 632,162,695.05 = 421,441,796.70 : x
  2. Step 2: Convert to fraction form
    421,441,796.70/632,162,695.05 = 421,441,796.70/x
  3. Step 3: Cross multiply
    421,441,796.70x = 632,162,695.05 × 421,441,796.70
  4. Step 4: Simplify right side
    421,441,796.70x = 266,419,782,008,586,176
  5. Step 5: Solve for x
    x = 266,419,782,008,586,176/421,441,796.70
  6. Step 6: Final answer
    x = 632,162,695.05

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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.