Finding the Fourth Proportional to 11,378,225,478,612, 15,701,962,781,344 and 6,175,655,220,205.80
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Solution
The fourth proportional to 11,378,225,478,612, 15,701,962,781,344 and 6,175,655,220,205.80 is: 8,522,410,511,231.44
Step by Step Solution
- Step 1: Write the proportion equation
11,378,225,478,612 : 15,701,962,781,344 = 6,175,655,220,205.80 : x - Step 2: Convert to fraction form
11,378,225,478,612/15,701,962,781,344 = 6,175,655,220,205.80/x - Step 3: Cross multiply
11,378,225,478,612x = 15,701,962,781,344 × 6,175,655,220,205.80 - Step 4: Simplify right side
11,378,225,478,612x = 96,969,908,418,084,255,205,163,008 - Step 5: Solve for x
x = 96,969,908,418,084,255,205,163,008/11,378,225,478,612 - Step 6: Final answer
x = 8,522,410,511,231.44
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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.