Finding the Fourth Proportional to 17,403,126,811,584, 24,016,389,664,720 and 9,492,972,109,147.60
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Solution
The fourth proportional to 17,403,126,811,584, 24,016,389,664,720 and 9,492,972,109,147.60 is: 13,100,342,238,375.99
Step by Step Solution
- Step 1: Write the proportion equation
17,403,126,811,584 : 24,016,389,664,720 = 9,492,972,109,147.60 : x - Step 2: Convert to fraction form
17,403,126,811,584/24,016,389,664,720 = 9,492,972,109,147.60/x - Step 3: Cross multiply
17,403,126,811,584x = 24,016,389,664,720 × 9,492,972,109,147.60 - Step 4: Simplify right side
17,403,126,811,584x = 227,986,917,249,607,625,842,098,176 - Step 5: Solve for x
x = 227,986,917,249,607,625,842,098,176/17,403,126,811,584 - Step 6: Final answer
x = 13,100,342,238,375.99
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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.