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Finding the Fourth Proportional to 421,999,770.38, 632,942,193.35 and 111,081,348.14

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Solution

The fourth proportional to 421,999,770.38, 632,942,193.35 and 111,081,348.14 is: 166,606,896.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,999,770.38 : 632,942,193.35 = 111,081,348.14 : x
  2. Step 2: Convert to fraction form
    421,999,770.38/632,942,193.35 = 111,081,348.14/x
  3. Step 3: Cross multiply
    421,999,770.38x = 632,942,193.35 × 111,081,348.14
  4. Step 4: Simplify right side
    421,999,770.38x = 70,308,072,129,117,320
  5. Step 5: Solve for x
    x = 70,308,072,129,117,320/421,999,770.38
  6. Step 6: Final answer
    x = 166,606,896.65

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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.