Finding the Fourth Proportional to 11,919,546,861,581, 17,879,320,272,316 and 2,864,149,848,158
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Solution
The fourth proportional to 11,919,546,861,581, 17,879,320,272,316 and 2,864,149,848,158 is: 4,296,224,767,417.86
Step by Step Solution
- Step 1: Write the proportion equation
11,919,546,861,581 : 17,879,320,272,316 = 2,864,149,848,158 : x - Step 2: Convert to fraction form
11,919,546,861,581/17,879,320,272,316 = 2,864,149,848,158/x - Step 3: Cross multiply
11,919,546,861,581x = 17,879,320,272,316 × 2,864,149,848,158 - Step 4: Simplify right side
11,919,546,861,581x = 51,209,052,443,122,118,948,814,848 - Step 5: Solve for x
x = 51,209,052,443,122,118,948,814,848/11,919,546,861,581 - Step 6: Final answer
x = 4,296,224,767,417.86
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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.