Finding the Fourth Proportional to 39,202,106,284,508, 54,103,650,542,064 and 22,311,793,651,972
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Solution
The fourth proportional to 39,202,106,284,508, 54,103,650,542,064 and 22,311,793,651,972 is: 30,792,975,202,712
Step by Step Solution
- Step 1: Write the proportion equation
39,202,106,284,508 : 54,103,650,542,064 = 22,311,793,651,972 : x - Step 2: Convert to fraction form
39,202,106,284,508/54,103,650,542,064 = 22,311,793,651,972/x - Step 3: Cross multiply
39,202,106,284,508x = 54,103,650,542,064 × 22,311,793,651,972 - Step 4: Simplify right side
39,202,106,284,508x = 1,207,149,486,712,935,037,028,794,368 - Step 5: Solve for x
x = 1,207,149,486,712,935,037,028,794,368/39,202,106,284,508 - Step 6: Final answer
x = 30,792,975,202,712
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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.