Finding the Fourth Proportional to 33,164,816,026,907, 49,754,008,967,098 and 11,404,497,386,189
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Solution
The fourth proportional to 33,164,816,026,907, 49,754,008,967,098 and 11,404,497,386,189 is: 17,109,079,234,974.17
Step by Step Solution
- Step 1: Write the proportion equation
33,164,816,026,907 : 49,754,008,967,098 = 11,404,497,386,189 : x - Step 2: Convert to fraction form
33,164,816,026,907/49,754,008,967,098 = 11,404,497,386,189/x - Step 3: Cross multiply
33,164,816,026,907x = 49,754,008,967,098 × 11,404,497,386,189 - Step 4: Simplify right side
33,164,816,026,907x = 567,419,465,217,693,209,067,520,000 - Step 5: Solve for x
x = 567,419,465,217,693,209,067,520,000/33,164,816,026,907 - Step 6: Final answer
x = 17,109,079,234,974.17
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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.