Finding the Fourth Proportional to 11,378,225,472,705, 15,701,962,773,176 and 6,175,655,214,280.80
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Solution
The fourth proportional to 11,378,225,472,705, 15,701,962,773,176 and 6,175,655,214,280.80 is: 8,522,410,503,046.07
Step by Step Solution
- Step 1: Write the proportion equation
11,378,225,472,705 : 15,701,962,773,176 = 6,175,655,214,280.80 : x - Step 2: Convert to fraction form
11,378,225,472,705/15,701,962,773,176 = 6,175,655,214,280.80/x - Step 3: Cross multiply
11,378,225,472,705x = 15,701,962,773,176 × 6,175,655,214,280.80 - Step 4: Simplify right side
11,378,225,472,705x = 96,969,908,274,607,367,988,969,472 - Step 5: Solve for x
x = 96,969,908,274,607,367,988,969,472/11,378,225,472,705 - Step 6: Final answer
x = 8,522,410,503,046.07
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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.