Finding the Fourth Proportional to 47,825,626,970,784, 71,738,440,628,304 and 13,443,416,435,458
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Solution
The fourth proportional to 47,825,626,970,784, 71,738,440,628,304 and 13,443,416,435,458 is: 20,165,124,701,570.86
Step by Step Solution
- Step 1: Write the proportion equation
47,825,626,970,784 : 71,738,440,628,304 = 13,443,416,435,458 : x - Step 2: Convert to fraction form
47,825,626,970,784/71,738,440,628,304 = 13,443,416,435,458/x - Step 3: Cross multiply
47,825,626,970,784x = 71,738,440,628,304 × 13,443,416,435,458 - Step 4: Simplify right side
47,825,626,970,784x = 964,409,731,796,669,902,064,975,872 - Step 5: Solve for x
x = 964,409,731,796,669,902,064,975,872/47,825,626,970,784 - Step 6: Final answer
x = 20,165,124,701,570.86
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.