Finding the Fourth Proportional to 16,314,592,489,175, 22,524,300,144,526 and 10,385,193,986,365
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Solution
The fourth proportional to 16,314,592,489,175, 22,524,300,144,526 and 10,385,193,986,365 is: 14,338,036,733,876.19
Step by Step Solution
- Step 1: Write the proportion equation
16,314,592,489,175 : 22,524,300,144,526 = 10,385,193,986,365 : x - Step 2: Convert to fraction form
16,314,592,489,175/22,524,300,144,526 = 10,385,193,986,365/x - Step 3: Cross multiply
16,314,592,489,175x = 22,524,300,144,526 × 10,385,193,986,365 - Step 4: Simplify right side
16,314,592,489,175x = 233,919,226,408,011,707,610,824,704 - Step 5: Solve for x
x = 233,919,226,408,011,707,610,824,704/16,314,592,489,175 - Step 6: Final answer
x = 14,338,036,733,876.19
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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.