Finding the Fourth Proportional to 224,206,469,593.92, 309,405,747,723.84 and 121,323,589,790.40
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Solution
The fourth proportional to 224,206,469,593.92, 309,405,747,723.84 and 121,323,589,790.40 is: 167,426,997,461.88
Step by Step Solution
- Step 1: Write the proportion equation
224,206,469,593.92 : 309,405,747,723.84 = 121,323,589,790.40 : x - Step 2: Convert to fraction form
224,206,469,593.92/309,405,747,723.84 = 121,323,589,790.40/x - Step 3: Cross multiply
224,206,469,593.92x = 309,405,747,723.84 × 121,323,589,790.40 - Step 4: Simplify right side
224,206,469,593.92x = 37,538,216,015,639,154,262,016 - Step 5: Solve for x
x = 37,538,216,015,639,154,262,016/224,206,469,593.92 - Step 6: Final answer
x = 167,426,997,461.88
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1.5x scale
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.