Finding the Fourth Proportional to 54,341,998,061,414, 81,524,446,668,441 and 17,623,366,184,340
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Solution
The fourth proportional to 54,341,998,061,414, 81,524,446,668,441 and 17,623,366,184,340 is: 26,438,762,428,093.33
Step by Step Solution
- Step 1: Write the proportion equation
54,341,998,061,414 : 81,524,446,668,441 = 17,623,366,184,340 : x - Step 2: Convert to fraction form
54,341,998,061,414/81,524,446,668,441 = 17,623,366,184,340/x - Step 3: Cross multiply
54,341,998,061,414x = 81,524,446,668,441 × 17,623,366,184,340 - Step 4: Simplify right side
54,341,998,061,414x = 1,436,735,176,613,632,971,116,642,304 - Step 5: Solve for x
x = 1,436,735,176,613,632,971,116,642,304/54,341,998,061,414 - Step 6: Final answer
x = 26,438,762,428,093.33
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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.