Finding the Fourth Proportional to 11,622,639,377,105, 16,039,729,616,214 and 6,684,264,977,616.40
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Solution
The fourth proportional to 11,622,639,377,105, 16,039,729,616,214 and 6,684,264,977,616.40 is: 9,224,565,904,995.06
Step by Step Solution
- Step 1: Write the proportion equation
11,622,639,377,105 : 16,039,729,616,214 = 6,684,264,977,616.40 : x - Step 2: Convert to fraction form
11,622,639,377,105/16,039,729,616,214 = 6,684,264,977,616.40/x - Step 3: Cross multiply
11,622,639,377,105x = 16,039,729,616,214 × 6,684,264,977,616.40 - Step 4: Simplify right side
11,622,639,377,105x = 107,213,802,924,095,787,805,704,192 - Step 5: Solve for x
x = 107,213,802,924,095,787,805,704,192/11,622,639,377,105 - Step 6: Final answer
x = 9,224,565,904,995.06
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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.