Finding the Fourth Proportional to 16,314,592,489,266, 22,524,300,144,652 and 10,385,193,986,456
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Solution
The fourth proportional to 16,314,592,489,266, 22,524,300,144,652 and 10,385,193,986,456 is: 14,338,036,734,002.06
Step by Step Solution
- Step 1: Write the proportion equation
16,314,592,489,266 : 22,524,300,144,652 = 10,385,193,986,456 : x - Step 2: Convert to fraction form
16,314,592,489,266/22,524,300,144,652 = 10,385,193,986,456/x - Step 3: Cross multiply
16,314,592,489,266x = 22,524,300,144,652 × 10,385,193,986,456 - Step 4: Simplify right side
16,314,592,489,266x = 233,919,226,411,369,959,719,436,288 - Step 5: Solve for x
x = 233,919,226,411,369,959,719,436,288/16,314,592,489,266 - Step 6: Final answer
x = 14,338,036,734,002.06
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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.