Finding the Fourth Proportional to 1,631,248,757,107.40, 2,251,125,517,311.40 and 889,657,385,895.14
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Solution
The fourth proportional to 1,631,248,757,107.40, 2,251,125,517,311.40 and 889,657,385,895.14 is: 1,227,728,410,107.38
Step by Step Solution
- Step 1: Write the proportion equation
1,631,248,757,107.40 : 2,251,125,517,311.40 = 889,657,385,895.14 : x - Step 2: Convert to fraction form
1,631,248,757,107.40/2,251,125,517,311.40 = 889,657,385,895.14/x - Step 3: Cross multiply
1,631,248,757,107.40x = 2,251,125,517,311.40 × 889,657,385,895.14 - Step 4: Simplify right side
1,631,248,757,107.40x = 2,002,730,443,053,104,755,638,272 - Step 5: Solve for x
x = 2,002,730,443,053,104,755,638,272/1,631,248,757,107.40 - Step 6: Final answer
x = 1,227,728,410,107.38
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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.