Finding the Fourth Proportional to 13,669,287,847,642, 18,863,631,190,525 and 7,419,154,156,468
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Solution
The fourth proportional to 13,669,287,847,642, 18,863,631,190,525 and 7,419,154,156,468 is: 10,238,440,313,290
Step by Step Solution
- Step 1: Write the proportion equation
13,669,287,847,642 : 18,863,631,190,525 = 7,419,154,156,468 : x - Step 2: Convert to fraction form
13,669,287,847,642/18,863,631,190,525 = 7,419,154,156,468/x - Step 3: Cross multiply
13,669,287,847,642x = 18,863,631,190,525 × 7,419,154,156,468 - Step 4: Simplify right side
13,669,287,847,642x = 139,952,187,753,262,954,005,397,504 - Step 5: Solve for x
x = 139,952,187,753,262,954,005,397,504/13,669,287,847,642 - Step 6: Final answer
x = 10,238,440,313,290
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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.