Finding the Fourth Proportional to 14,775,532,952,662, 22,166,990,970,302 and 10,427,610,325,366
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Solution
The fourth proportional to 14,775,532,952,662, 22,166,990,970,302 and 10,427,610,325,366 is: 15,644,020,737,849.03
Step by Step Solution
- Step 1: Write the proportion equation
14,775,532,952,662 : 22,166,990,970,302 = 10,427,610,325,366 : x - Step 2: Convert to fraction form
14,775,532,952,662/22,166,990,970,302 = 10,427,610,325,366/x - Step 3: Cross multiply
14,775,532,952,662x = 22,166,990,970,302 × 10,427,610,325,366 - Step 4: Simplify right side
14,775,532,952,662x = 231,148,743,924,216,025,929,744,384 - Step 5: Solve for x
x = 231,148,743,924,216,025,929,744,384/14,775,532,952,662 - Step 6: Final answer
x = 15,644,020,737,849.03
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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.