Finding the Fourth Proportional to 2,546,384,241.14, 3,514,010,414.82 and 1,417,329,698.96
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Solution
The fourth proportional to 2,546,384,241.14, 3,514,010,414.82 and 1,417,329,698.96 is: 1,955,915,074.76
Step by Step Solution
- Step 1: Write the proportion equation
2,546,384,241.14 : 3,514,010,414.82 = 1,417,329,698.96 : x - Step 2: Convert to fraction form
2,546,384,241.14/3,514,010,414.82 = 1,417,329,698.96/x - Step 3: Cross multiply
2,546,384,241.14x = 3,514,010,414.82 × 1,417,329,698.96 - Step 4: Simplify right side
2,546,384,241.14x = 4,980,511,323,379,135,488 - Step 5: Solve for x
x = 4,980,511,323,379,135,488/2,546,384,241.14 - Step 6: Final answer
x = 1,955,915,074.76
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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.