Finding the Fourth Proportional to 2,471,557,414.28, 3,407,503,694.78 and 1,783,544,383.44
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Solution
The fourth proportional to 2,471,557,414.28, 3,407,503,694.78 and 1,783,544,383.44 is: 2,458,949,179.68
Step by Step Solution
- Step 1: Write the proportion equation
2,471,557,414.28 : 3,407,503,694.78 = 1,783,544,383.44 : x - Step 2: Convert to fraction form
2,471,557,414.28/3,407,503,694.78 = 1,783,544,383.44/x - Step 3: Cross multiply
2,471,557,414.28x = 3,407,503,694.78 × 1,783,544,383.44 - Step 4: Simplify right side
2,471,557,414.28x = 6,077,434,076,366,999,552 - Step 5: Solve for x
x = 6,077,434,076,366,999,552/2,471,557,414.28 - Step 6: Final answer
x = 2,458,949,179.68
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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.