Finding the Fourth Proportional to 5,342,601,528,342, 7,372,385,491,694.50 and 2,998,348,159,474.40
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Solution
The fourth proportional to 5,342,601,528,342, 7,372,385,491,694.50 and 2,998,348,159,474.40 is: 4,137,493,382,707.49
Step by Step Solution
- Step 1: Write the proportion equation
5,342,601,528,342 : 7,372,385,491,694.50 = 2,998,348,159,474.40 : x - Step 2: Convert to fraction form
5,342,601,528,342/7,372,385,491,694.50 = 2,998,348,159,474.40/x - Step 3: Cross multiply
5,342,601,528,342x = 7,372,385,491,694.50 × 2,998,348,159,474.40 - Step 4: Simplify right side
5,342,601,528,342x = 22,104,978,469,957,972,546,027,520 - Step 5: Solve for x
x = 22,104,978,469,957,972,546,027,520/5,342,601,528,342 - Step 6: Final answer
x = 4,137,493,382,707.49
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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.