Finding the Fourth Proportional to 11,954,715,244,502, 16,497,522,946,830 and 6,473,826,504,510
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Solution
The fourth proportional to 11,954,715,244,502, 16,497,522,946,830 and 6,473,826,504,510 is: 8,933,889,191,636.62
Step by Step Solution
- Step 1: Write the proportion equation
11,954,715,244,502 : 16,497,522,946,830 = 6,473,826,504,510 : x - Step 2: Convert to fraction form
11,954,715,244,502/16,497,522,946,830 = 6,473,826,504,510/x - Step 3: Cross multiply
11,954,715,244,502x = 16,497,522,946,830 × 6,473,826,504,510 - Step 4: Simplify right side
11,954,715,244,502x = 106,802,101,311,949,980,951,379,968 - Step 5: Solve for x
x = 106,802,101,311,949,980,951,379,968/11,954,715,244,502 - Step 6: Final answer
x = 8,933,889,191,636.62
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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.