Finding the Fourth Proportional to 7,394,329,876,996.80, 10,204,187,234,502 and 4,102,077,791,742.90
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Solution
The fourth proportional to 7,394,329,876,996.80, 10,204,187,234,502 and 4,102,077,791,742.90 is: 5,660,874,012,079.89
Step by Step Solution
- Step 1: Write the proportion equation
7,394,329,876,996.80 : 10,204,187,234,502 = 4,102,077,791,742.90 : x - Step 2: Convert to fraction form
7,394,329,876,996.80/10,204,187,234,502 = 4,102,077,791,742.90/x - Step 3: Cross multiply
7,394,329,876,996.80x = 10,204,187,234,502 × 4,102,077,791,742.90 - Step 4: Simplify right side
7,394,329,876,996.80x = 41,858,369,837,437,056,117,112,832 - Step 5: Solve for x
x = 41,858,369,837,437,056,117,112,832/7,394,329,876,996.80 - Step 6: Final answer
x = 5,660,874,012,079.89
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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.