Finding the Fourth Proportional to 24,165,158,851,304, 33,354,123,922,350 and 15,738,946,578,762
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Solution
The fourth proportional to 24,165,158,851,304, 33,354,123,922,350 and 15,738,946,578,762 is: 21,723,787,450,581.83
Step by Step Solution
- Step 1: Write the proportion equation
24,165,158,851,304 : 33,354,123,922,350 = 15,738,946,578,762 : x - Step 2: Convert to fraction form
24,165,158,851,304/33,354,123,922,350 = 15,738,946,578,762/x - Step 3: Cross multiply
24,165,158,851,304x = 33,354,123,922,350 × 15,738,946,578,762 - Step 4: Simplify right side
24,165,158,851,304x = 524,958,774,595,274,320,761,585,664 - Step 5: Solve for x
x = 524,958,774,595,274,320,761,585,664/24,165,158,851,304 - Step 6: Final answer
x = 21,723,787,450,581.83
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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.