Finding the Fourth Proportional to 2,394,209,168,766, 3,303,982,331,448 and 1,296,764,478,149
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Solution
The fourth proportional to 2,394,209,168,766, 3,303,982,331,448 and 1,296,764,478,149 is: 1,789,520,723,480.46
Step by Step Solution
- Step 1: Write the proportion equation
2,394,209,168,766 : 3,303,982,331,448 = 1,296,764,478,149 : x - Step 2: Convert to fraction form
2,394,209,168,766/3,303,982,331,448 = 1,296,764,478,149/x - Step 3: Cross multiply
2,394,209,168,766x = 3,303,982,331,448 × 1,296,764,478,149 - Step 4: Simplify right side
2,394,209,168,766x = 4,284,486,923,853,682,245,107,712 - Step 5: Solve for x
x = 4,284,486,923,853,682,245,107,712/2,394,209,168,766 - Step 6: Final answer
x = 1,789,520,723,480.46
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.