Finding the Fourth Proportional to 33,164,816,026,906, 49,754,008,967,096 and 11,404,497,386,188
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Solution
The fourth proportional to 33,164,816,026,906, 49,754,008,967,096 and 11,404,497,386,188 is: 17,109,079,234,972.50
Step by Step Solution
- Step 1: Write the proportion equation
33,164,816,026,906 : 49,754,008,967,096 = 11,404,497,386,188 : x - Step 2: Convert to fraction form
33,164,816,026,906/49,754,008,967,096 = 11,404,497,386,188/x - Step 3: Cross multiply
33,164,816,026,906x = 49,754,008,967,096 × 11,404,497,386,188 - Step 4: Simplify right side
33,164,816,026,906x = 567,419,465,217,620,641,300,086,784 - Step 5: Solve for x
x = 567,419,465,217,620,641,300,086,784/33,164,816,026,906 - Step 6: Final answer
x = 17,109,079,234,972.50
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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.