Finding the Fourth Proportional to 15,287,177,589,729, 21,096,304,266,912 and 8,255,775,060,768
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Solution
The fourth proportional to 15,287,177,589,729, 21,096,304,266,912 and 8,255,775,060,768 is: 11,392,969,148,089.36
Step by Step Solution
- Step 1: Write the proportion equation
15,287,177,589,729 : 21,096,304,266,912 = 8,255,775,060,768 : x - Step 2: Convert to fraction form
15,287,177,589,729/21,096,304,266,912 = 8,255,775,060,768/x - Step 3: Cross multiply
15,287,177,589,729x = 21,096,304,266,912 × 8,255,775,060,768 - Step 4: Simplify right side
15,287,177,589,729x = 174,166,342,641,145,625,188,499,456 - Step 5: Solve for x
x = 174,166,342,641,145,625,188,499,456/15,287,177,589,729 - Step 6: Final answer
x = 11,392,969,148,089.36
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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.