Finding the Fourth Proportional to 11,919,546,861,582, 17,879,320,272,318 and 2,864,149,848,159
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Solution
The fourth proportional to 11,919,546,861,582, 17,879,320,272,318 and 2,864,149,848,159 is: 4,296,224,767,419.48
Step by Step Solution
- Step 1: Write the proportion equation
11,919,546,861,582 : 17,879,320,272,318 = 2,864,149,848,159 : x - Step 2: Convert to fraction form
11,919,546,861,582/17,879,320,272,318 = 2,864,149,848,159/x - Step 3: Cross multiply
11,919,546,861,582x = 17,879,320,272,318 × 2,864,149,848,159 - Step 4: Simplify right side
11,919,546,861,582x = 51,209,052,443,145,732,679,008,256 - Step 5: Solve for x
x = 51,209,052,443,145,732,679,008,256/11,919,546,861,582 - Step 6: Final answer
x = 4,296,224,767,419.48
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.