Finding the Fourth Proportional to 32,416,391,410,425, 44,734,620,146,406 and 18,542,867,861,080
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Solution
The fourth proportional to 32,416,391,410,425, 44,734,620,146,406 and 18,542,867,861,080 is: 25,589,157,648,301.55
Step by Step Solution
- Step 1: Write the proportion equation
32,416,391,410,425 : 44,734,620,146,406 = 18,542,867,861,080 : x - Step 2: Convert to fraction form
32,416,391,410,425/44,734,620,146,406 = 18,542,867,861,080/x - Step 3: Cross multiply
32,416,391,410,425x = 44,734,620,146,406 × 18,542,867,861,080 - Step 4: Simplify right side
32,416,391,410,425x = 829,508,150,190,413,646,112,227,328 - Step 5: Solve for x
x = 829,508,150,190,413,646,112,227,328/32,416,391,410,425 - Step 6: Final answer
x = 25,589,157,648,301.55
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1.5x scale
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.