Finding the Fourth Proportional to 68,266,298,458,134, 94,207,585,162,794 and 37,050,870,952,380
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Solution
The fourth proportional to 68,266,298,458,134, 94,207,585,162,794 and 37,050,870,952,380 is: 51,130,252,546,835.37
Step by Step Solution
- Step 1: Write the proportion equation
68,266,298,458,134 : 94,207,585,162,794 = 37,050,870,952,380 : x - Step 2: Convert to fraction form
68,266,298,458,134/94,207,585,162,794 = 37,050,870,952,380/x - Step 3: Cross multiply
68,266,298,458,134x = 94,207,585,162,794 × 37,050,870,952,380 - Step 4: Simplify right side
68,266,298,458,134x = 3,490,473,080,602,029,029,656,100,864 - Step 5: Solve for x
x = 3,490,473,080,602,029,029,656,100,864/68,266,298,458,134 - Step 6: Final answer
x = 51,130,252,546,835.37
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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.