Finding the Fourth Proportional to 31,167,687,837.84, 46,750,876,755.62 and 7,586,056,344.84
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Solution
The fourth proportional to 31,167,687,837.84, 46,750,876,755.62 and 7,586,056,344.84 is: 11,378,925,093.32
Step by Step Solution
- Step 1: Write the proportion equation
31,167,687,837.84 : 46,750,876,755.62 = 7,586,056,344.84 : x - Step 2: Convert to fraction form
31,167,687,837.84/46,750,876,755.62 = 7,586,056,344.84/x - Step 3: Cross multiply
31,167,687,837.84x = 46,750,876,755.62 × 7,586,056,344.84 - Step 4: Simplify right side
31,167,687,837.84x = 354,654,785,238,804,004,864 - Step 5: Solve for x
x = 354,654,785,238,804,004,864/31,167,687,837.84 - Step 6: Final answer
x = 11,378,925,093.32
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.