Finding the Fourth Proportional to 194,599,164,182.24, 291,792,335,902.68 and 154,519,475,592.80
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Solution
The fourth proportional to 194,599,164,182.24, 291,792,335,902.68 and 154,519,475,592.80 is: 231,694,719,322.93
Step by Step Solution
- Step 1: Write the proportion equation
194,599,164,182.24 : 291,792,335,902.68 = 154,519,475,592.80 : x - Step 2: Convert to fraction form
194,599,164,182.24/291,792,335,902.68 = 154,519,475,592.80/x - Step 3: Cross multiply
194,599,164,182.24x = 291,792,335,902.68 × 154,519,475,592.80 - Step 4: Simplify right side
194,599,164,182.24x = 45,087,598,725,680,253,108,224 - Step 5: Solve for x
x = 45,087,598,725,680,253,108,224/194,599,164,182.24 - Step 6: Final answer
x = 231,694,719,322.93
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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.