Finding the Fourth Proportional to 2,546,384,242.14, 3,514,010,416.20 and 1,417,329,699.96
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Solution
The fourth proportional to 2,546,384,242.14, 3,514,010,416.20 and 1,417,329,699.96 is: 1,955,915,076.14
Step by Step Solution
- Step 1: Write the proportion equation
2,546,384,242.14 : 3,514,010,416.20 = 1,417,329,699.96 : x - Step 2: Convert to fraction form
2,546,384,242.14/3,514,010,416.20 = 1,417,329,699.96/x - Step 3: Cross multiply
2,546,384,242.14x = 3,514,010,416.20 × 1,417,329,699.96 - Step 4: Simplify right side
2,546,384,242.14x = 4,980,511,328,849,060,864 - Step 5: Solve for x
x = 4,980,511,328,849,060,864/2,546,384,242.14 - Step 6: Final answer
x = 1,955,915,076.14
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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.