Finding the Fourth Proportional to 27,402,267,414,992, 41,121,509,443,672 and 12,901,419,307,412
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Solution
The fourth proportional to 27,402,267,414,992, 41,121,509,443,672 and 12,901,419,307,412 is: 19,360,654,644,084.67
Step by Step Solution
- Step 1: Write the proportion equation
27,402,267,414,992 : 41,121,509,443,672 = 12,901,419,307,412 : x - Step 2: Convert to fraction form
27,402,267,414,992/41,121,509,443,672 = 12,901,419,307,412/x - Step 3: Cross multiply
27,402,267,414,992x = 41,121,509,443,672 × 12,901,419,307,412 - Step 4: Simplify right side
27,402,267,414,992x = 530,525,835,886,514,802,794,692,608 - Step 5: Solve for x
x = 530,525,835,886,514,802,794,692,608/27,402,267,414,992 - Step 6: Final answer
x = 19,360,654,644,084.67
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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.