Finding the Fourth Proportional to 33,164,816,026,913, 49,754,008,967,106 and 11,404,497,386,194
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Solution
The fourth proportional to 33,164,816,026,913, 49,754,008,967,106 and 11,404,497,386,194 is: 17,109,079,234,981.33
Step by Step Solution
- Step 1: Write the proportion equation
33,164,816,026,913 : 49,754,008,967,106 = 11,404,497,386,194 : x - Step 2: Convert to fraction form
33,164,816,026,913/49,754,008,967,106 = 11,404,497,386,194/x - Step 3: Cross multiply
33,164,816,026,913x = 49,754,008,967,106 × 11,404,497,386,194 - Step 4: Simplify right side
33,164,816,026,913x = 567,419,465,218,033,233,038,409,728 - Step 5: Solve for x
x = 567,419,465,218,033,233,038,409,728/33,164,816,026,913 - Step 6: Final answer
x = 17,109,079,234,981.33
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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.