Finding the Fourth Proportional to 39,202,106,212,242, 54,103,650,442,263 and 22,311,793,579,454
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Solution
The fourth proportional to 39,202,106,212,242, 54,103,650,442,263 and 22,311,793,579,454 is: 30,792,975,102,591.29
Step by Step Solution
- Step 1: Write the proportion equation
39,202,106,212,242 : 54,103,650,442,263 = 22,311,793,579,454 : x - Step 2: Convert to fraction form
39,202,106,212,242/54,103,650,442,263 = 22,311,793,579,454/x - Step 3: Cross multiply
39,202,106,212,242x = 54,103,650,442,263 × 22,311,793,579,454 - Step 4: Simplify right side
39,202,106,212,242x = 1,207,149,480,562,707,208,217,821,184 - Step 5: Solve for x
x = 1,207,149,480,562,707,208,217,821,184/39,202,106,212,242 - Step 6: Final answer
x = 30,792,975,102,591.29
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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.