Finding the Fourth Proportional to 327,020,995,378.71, 451,270,144,930.64 and 182,493,781,958.07
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Solution
The fourth proportional to 327,020,995,378.71, 451,270,144,930.64 and 182,493,781,958.07 is: 251,830,911,766.96
Step by Step Solution
- Step 1: Write the proportion equation
327,020,995,378.71 : 451,270,144,930.64 = 182,493,781,958.07 : x - Step 2: Convert to fraction form
327,020,995,378.71/451,270,144,930.64 = 182,493,781,958.07/x - Step 3: Cross multiply
327,020,995,378.71x = 451,270,144,930.64 × 182,493,781,958.07 - Step 4: Simplify right side
327,020,995,378.71x = 82,353,995,433,158,866,108,416 - Step 5: Solve for x
x = 82,353,995,433,158,866,108,416/327,020,995,378.71 - Step 6: Final answer
x = 251,830,911,766.96
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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.