Finding the Fourth Proportional to 57,629,140,285,201, 79,528,213,593,613 and 32,965,098,419,698
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Solution
The fourth proportional to 57,629,140,285,201, 79,528,213,593,613 and 32,965,098,419,698 is: 45,491,835,819,203.62
Step by Step Solution
- Step 1: Write the proportion equation
57,629,140,285,201 : 79,528,213,593,613 = 32,965,098,419,698 : x - Step 2: Convert to fraction form
57,629,140,285,201/79,528,213,593,613 = 32,965,098,419,698/x - Step 3: Cross multiply
57,629,140,285,201x = 79,528,213,593,613 × 32,965,098,419,698 - Step 4: Simplify right side
57,629,140,285,201x = 2,621,655,388,256,217,031,367,458,816 - Step 5: Solve for x
x = 2,621,655,388,256,217,031,367,458,816/57,629,140,285,201 - Step 6: Final answer
x = 45,491,835,819,203.62
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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.