Finding the Fourth Proportional to 13,193,305,934,894, 18,206,765,162,002 and 7,260,560,622,087
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Solution
The fourth proportional to 13,193,305,934,894, 18,206,765,162,002 and 7,260,560,622,087 is: 10,019,575,293,952.22
Step by Step Solution
- Step 1: Write the proportion equation
13,193,305,934,894 : 18,206,765,162,002 = 7,260,560,622,087 : x - Step 2: Convert to fraction form
13,193,305,934,894/18,206,765,162,002 = 7,260,560,622,087/x - Step 3: Cross multiply
13,193,305,934,894x = 18,206,765,162,002 × 7,260,560,622,087 - Step 4: Simplify right side
13,193,305,934,894x = 132,191,322,190,817,164,965,969,920 - Step 5: Solve for x
x = 132,191,322,190,817,164,965,969,920/13,193,305,934,894 - Step 6: Final answer
x = 10,019,575,293,952.22
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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.