Finding the Fourth Proportional to 17,201,574,093,257, 25,806,430,548,206 and 5,584,452,924,723
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Solution
The fourth proportional to 17,201,574,093,257, 25,806,430,548,206 and 5,584,452,924,723 is: 8,378,000,511,481.26
Step by Step Solution
- Step 1: Write the proportion equation
17,201,574,093,257 : 25,806,430,548,206 = 5,584,452,924,723 : x - Step 2: Convert to fraction form
17,201,574,093,257/25,806,430,548,206 = 5,584,452,924,723/x - Step 3: Cross multiply
17,201,574,093,257x = 25,806,430,548,206 × 5,584,452,924,723 - Step 4: Simplify right side
17,201,574,093,257x = 144,114,796,551,589,970,306,924,544 - Step 5: Solve for x
x = 144,114,796,551,589,970,306,924,544/17,201,574,093,257 - Step 6: Final answer
x = 8,378,000,511,481.26
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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.