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Finding the Fourth Proportional to 996,453,942.80, 1,494,680,914.20 and 414,605,763.95

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Solution

The fourth proportional to 996,453,942.80, 1,494,680,914.20 and 414,605,763.95 is: 621,908,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,453,942.80 : 1,494,680,914.20 = 414,605,763.95 : x
  2. Step 2: Convert to fraction form
    996,453,942.80/1,494,680,914.20 = 414,605,763.95/x
  3. Step 3: Cross multiply
    996,453,942.80x = 1,494,680,914.20 × 414,605,763.95
  4. Step 4: Simplify right side
    996,453,942.80x = 619,703,322,293,375,360
  5. Step 5: Solve for x
    x = 619,703,322,293,375,360/996,453,942.80
  6. Step 6: Final answer
    x = 621,908,645.93

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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.