Finding the Fourth Proportional to 11,736,793,191,088, 17,613,231,589,984 and 4,096,301,959,194
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Solution
The fourth proportional to 11,736,793,191,088, 17,613,231,589,984 and 4,096,301,959,194 is: 6,147,259,638,567.50
Step by Step Solution
- Step 1: Write the proportion equation
11,736,793,191,088 : 17,613,231,589,984 = 4,096,301,959,194 : x - Step 2: Convert to fraction form
11,736,793,191,088/17,613,231,589,984 = 4,096,301,959,194/x - Step 3: Cross multiply
11,736,793,191,088x = 17,613,231,589,984 × 4,096,301,959,194 - Step 4: Simplify right side
11,736,793,191,088x = 72,149,115,069,789,112,352,374,784 - Step 5: Solve for x
x = 72,149,115,069,789,112,352,374,784/11,736,793,191,088 - Step 6: Final answer
x = 6,147,259,638,567.50
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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.