Finding the Fourth Proportional to 204,646,730,375.74, 282,393,535,608.39 and 113,193,312,873.48
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Solution
The fourth proportional to 204,646,730,375.74, 282,393,535,608.39 and 113,193,312,873.48 is: 156,196,288,945.73
Step by Step Solution
- Step 1: Write the proportion equation
204,646,730,375.74 : 282,393,535,608.39 = 113,193,312,873.48 : x - Step 2: Convert to fraction form
204,646,730,375.74/282,393,535,608.39 = 113,193,312,873.48/x - Step 3: Cross multiply
204,646,730,375.74x = 282,393,535,608.39 × 113,193,312,873.48 - Step 4: Simplify right side
204,646,730,375.74x = 31,965,059,829,568,704,086,016 - Step 5: Solve for x
x = 31,965,059,829,568,704,086,016/204,646,730,375.74 - Step 6: Final answer
x = 156,196,288,945.73
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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.