Finding the Fourth Proportional to 13,669,287,847,641, 18,863,631,190,524 and 7,419,154,156,467
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Solution
The fourth proportional to 13,669,287,847,641, 18,863,631,190,524 and 7,419,154,156,467 is: 10,238,440,313,288.83
Step by Step Solution
- Step 1: Write the proportion equation
13,669,287,847,641 : 18,863,631,190,524 = 7,419,154,156,467 : x - Step 2: Convert to fraction form
13,669,287,847,641/18,863,631,190,524 = 7,419,154,156,467/x - Step 3: Cross multiply
13,669,287,847,641x = 18,863,631,190,524 × 7,419,154,156,467 - Step 4: Simplify right side
13,669,287,847,641x = 139,952,187,753,236,685,985,415,168 - Step 5: Solve for x
x = 139,952,187,753,236,685,985,415,168/13,669,287,847,641 - Step 6: Final answer
x = 10,238,440,313,288.83
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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.