Finding the Fourth Proportional to 32,121,609,958,546, 44,327,971,856,108 and 18,248,847,645,171
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Solution
The fourth proportional to 32,121,609,958,546, 44,327,971,856,108 and 18,248,847,645,171 is: 25,183,495,032,331.80
Step by Step Solution
- Step 1: Write the proportion equation
32,121,609,958,546 : 44,327,971,856,108 = 18,248,847,645,171 : x - Step 2: Convert to fraction form
32,121,609,958,546/44,327,971,856,108 = 18,248,847,645,171/x - Step 3: Cross multiply
32,121,609,958,546x = 44,327,971,856,108 × 18,248,847,645,171 - Step 4: Simplify right side
32,121,609,958,546x = 808,934,404,821,542,776,522,932,224 - Step 5: Solve for x
x = 808,934,404,821,542,776,522,932,224/32,121,609,958,546 - Step 6: Final answer
x = 25,183,495,032,331.80
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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.