Finding the Fourth Proportional to 33,164,816,026,892, 49,754,008,967,076 and 11,404,497,386,174
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Solution
The fourth proportional to 33,164,816,026,892, 49,754,008,967,076 and 11,404,497,386,174 is: 17,109,079,234,951.84
Step by Step Solution
- Step 1: Write the proportion equation
33,164,816,026,892 : 49,754,008,967,076 = 11,404,497,386,174 : x - Step 2: Convert to fraction form
33,164,816,026,892/49,754,008,967,076 = 11,404,497,386,174/x - Step 3: Cross multiply
33,164,816,026,892x = 49,754,008,967,076 × 11,404,497,386,174 - Step 4: Simplify right side
33,164,816,026,892x = 567,419,465,216,696,020,740,603,904 - Step 5: Solve for x
x = 567,419,465,216,696,020,740,603,904/33,164,816,026,892 - Step 6: Final answer
x = 17,109,079,234,951.84
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.