Finding the Fourth Proportional to 220,901,134,117.05, 304,851,086,734.77 and 128,194,810,960.14
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Solution
The fourth proportional to 220,901,134,117.05, 304,851,086,734.77 and 128,194,810,960.14 is: 176,913,204,140.68
Step by Step Solution
- Step 1: Write the proportion equation
220,901,134,117.05 : 304,851,086,734.77 = 128,194,810,960.14 : x - Step 2: Convert to fraction form
220,901,134,117.05/304,851,086,734.77 = 128,194,810,960.14/x - Step 3: Cross multiply
220,901,134,117.05x = 304,851,086,734.77 × 128,194,810,960.14 - Step 4: Simplify right side
220,901,134,117.05x = 39,080,327,434,957,081,280,512 - Step 5: Solve for x
x = 39,080,327,434,957,081,280,512/220,901,134,117.05 - Step 6: Final answer
x = 176,913,204,140.68
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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.