Finding the Fourth Proportional to 11,622,639,377,107, 16,039,729,616,216 and 6,684,264,977,617.90
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Solution
The fourth proportional to 11,622,639,377,107, 16,039,729,616,216 and 6,684,264,977,617.90 is: 9,224,565,904,996.69
Step by Step Solution
- Step 1: Write the proportion equation
11,622,639,377,107 : 16,039,729,616,216 = 6,684,264,977,617.90 : x - Step 2: Convert to fraction form
11,622,639,377,107/16,039,729,616,216 = 6,684,264,977,617.90/x - Step 3: Cross multiply
11,622,639,377,107x = 16,039,729,616,216 × 6,684,264,977,617.90 - Step 4: Simplify right side
11,622,639,377,107x = 107,213,802,924,133,222,740,656,128 - Step 5: Solve for x
x = 107,213,802,924,133,222,740,656,128/11,622,639,377,107 - Step 6: Final answer
x = 9,224,565,904,996.69
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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.