Finding the Fourth Proportional to 12,728,972,563,645, 17,569,250,461,148 and 8,290,473,918,026
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Solution
The fourth proportional to 12,728,972,563,645, 17,569,250,461,148 and 8,290,473,918,026 is: 11,442,982,690,010.93
Step by Step Solution
- Step 1: Write the proportion equation
12,728,972,563,645 : 17,569,250,461,148 = 8,290,473,918,026 : x - Step 2: Convert to fraction form
12,728,972,563,645/17,569,250,461,148 = 8,290,473,918,026/x - Step 3: Cross multiply
12,728,972,563,645x = 17,569,250,461,148 × 8,290,473,918,026 - Step 4: Simplify right side
12,728,972,563,645x = 145,657,412,707,413,764,285,136,896 - Step 5: Solve for x
x = 145,657,412,707,413,764,285,136,896/12,728,972,563,645 - Step 6: Final answer
x = 11,442,982,690,010.93
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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.