Finding the Fourth Proportional to 27,641,562,136,586, 38,130,893,811,354 and 17,091,086,784,705
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Solution
The fourth proportional to 27,641,562,136,586, 38,130,893,811,354 and 17,091,086,784,705 is: 23,576,757,785,539.29
Step by Step Solution
- Step 1: Write the proportion equation
27,641,562,136,586 : 38,130,893,811,354 = 17,091,086,784,705 : x - Step 2: Convert to fraction form
27,641,562,136,586/38,130,893,811,354 = 17,091,086,784,705/x - Step 3: Cross multiply
27,641,562,136,586x = 38,130,893,811,354 × 17,091,086,784,705 - Step 4: Simplify right side
27,641,562,136,586x = 651,698,415,308,222,084,082,040,832 - Step 5: Solve for x
x = 651,698,415,308,222,084,082,040,832/27,641,562,136,586 - Step 6: Final answer
x = 23,576,757,785,539.29
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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.