Finding the Fourth Proportional to 43,491,835,722,964, 60,097,242,606,389 and 30,969,826,167,419
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Solution
The fourth proportional to 43,491,835,722,964, 60,097,242,606,389 and 30,969,826,167,419 is: 42,794,265,308,013.81
Step by Step Solution
- Step 1: Write the proportion equation
43,491,835,722,964 : 60,097,242,606,389 = 30,969,826,167,419 : x - Step 2: Convert to fraction form
43,491,835,722,964/60,097,242,606,389 = 30,969,826,167,419/x - Step 3: Cross multiply
43,491,835,722,964x = 60,097,242,606,389 × 30,969,826,167,419 - Step 4: Simplify right side
43,491,835,722,964x = 1,861,201,156,661,074,179,888,513,024 - Step 5: Solve for x
x = 1,861,201,156,661,074,179,888,513,024/43,491,835,722,964 - Step 6: Final answer
x = 42,794,265,308,013.81
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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.