Finding the Fourth Proportional to 176,059,527,979.92, 263,593,365,283.16 and 158,207,191,846.80
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Solution
The fourth proportional to 176,059,527,979.92, 263,593,365,283.16 and 158,207,191,846.80 is: 236,865,147,767.82
Step by Step Solution
- Step 1: Write the proportion equation
176,059,527,979.92 : 263,593,365,283.16 = 158,207,191,846.80 : x - Step 2: Convert to fraction form
176,059,527,979.92/263,593,365,283.16 = 158,207,191,846.80/x - Step 3: Cross multiply
176,059,527,979.92x = 263,593,365,283.16 × 158,207,191,846.80 - Step 4: Simplify right side
176,059,527,979.92x = 41,702,366,110,896,523,051,008 - Step 5: Solve for x
x = 41,702,366,110,896,523,051,008/176,059,527,979.92 - Step 6: Final answer
x = 236,865,147,767.82
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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.