Finding the Fourth Proportional to 150,454,844,200.99, 207,621,418,589.08 and 81,866,526,671.17
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Solution
The fourth proportional to 150,454,844,200.99, 207,621,418,589.08 and 81,866,526,671.17 is: 112,972,397,084.95
Step by Step Solution
- Step 1: Write the proportion equation
150,454,844,200.99 : 207,621,418,589.08 = 81,866,526,671.17 : x - Step 2: Convert to fraction form
150,454,844,200.99/207,621,418,589.08 = 81,866,526,671.17/x - Step 3: Cross multiply
150,454,844,200.99x = 207,621,418,589.08 × 81,866,526,671.17 - Step 4: Simplify right side
150,454,844,200.99x = 16,997,244,402,429,067,264,000 - Step 5: Solve for x
x = 16,997,244,402,429,067,264,000/150,454,844,200.99 - Step 6: Final answer
x = 112,972,397,084.95
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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.