Finding the Fourth Proportional to 211,809,882,694.14, 292,295,222,553.68 and 115,463,843,721.27
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Solution
The fourth proportional to 211,809,882,694.14, 292,295,222,553.68 and 115,463,843,721.27 is: 159,338,787,539.71
Step by Step Solution
- Step 1: Write the proportion equation
211,809,882,694.14 : 292,295,222,553.68 = 115,463,843,721.27 : x - Step 2: Convert to fraction form
211,809,882,694.14/292,295,222,553.68 = 115,463,843,721.27/x - Step 3: Cross multiply
211,809,882,694.14x = 292,295,222,553.68 × 115,463,843,721.27 - Step 4: Simplify right side
211,809,882,694.14x = 33,749,529,897,411,943,596,032 - Step 5: Solve for x
x = 33,749,529,897,411,943,596,032/211,809,882,694.14 - Step 6: Final answer
x = 159,338,787,539.71
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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.