Finding the Fourth Proportional to 1,819,691,498,086.80, 2,511,253,204,283.60 and 1,007,706,580,704
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Solution
The fourth proportional to 1,819,691,498,086.80, 2,511,253,204,283.60 and 1,007,706,580,704 is: 1,390,678,794,966.75
Step by Step Solution
- Step 1: Write the proportion equation
1,819,691,498,086.80 : 2,511,253,204,283.60 = 1,007,706,580,704 : x - Step 2: Convert to fraction form
1,819,691,498,086.80/2,511,253,204,283.60 = 1,007,706,580,704/x - Step 3: Cross multiply
1,819,691,498,086.80x = 2,511,253,204,283.60 × 1,007,706,580,704 - Step 4: Simplify right side
1,819,691,498,086.80x = 2,530,606,379,770,590,250,663,936 - Step 5: Solve for x
x = 2,530,606,379,770,590,250,663,936/1,819,691,498,086.80 - Step 6: Final answer
x = 1,390,678,794,966.75
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.