Finding the Fourth Proportional to 280,509,190,481.98, 420,757,890,712.64 and 68,274,507,044.97
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Solution
The fourth proportional to 280,509,190,481.98, 420,757,890,712.64 and 68,274,507,044.97 is: 102,410,325,751.99
Step by Step Solution
- Step 1: Write the proportion equation
280,509,190,481.98 : 420,757,890,712.64 = 68,274,507,044.97 : x - Step 2: Convert to fraction form
280,509,190,481.98/420,757,890,712.64 = 68,274,507,044.97/x - Step 3: Cross multiply
280,509,190,481.98x = 420,757,890,712.64 × 68,274,507,044.97 - Step 4: Simplify right side
280,509,190,481.98x = 28,727,037,573,686,857,039,872 - Step 5: Solve for x
x = 28,727,037,573,686,857,039,872/280,509,190,481.98 - Step 6: Final answer
x = 102,410,325,751.99
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.