Finding the Fourth Proportional to 34,396,150,145,508, 47,466,685,385,508 and 18,575,494,455,180
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Solution
The fourth proportional to 34,396,150,145,508, 47,466,685,385,508 and 18,575,494,455,180 is: 25,634,181,367,807.12
Step by Step Solution
- Step 1: Write the proportion equation
34,396,150,145,508 : 47,466,685,385,508 = 18,575,494,455,180 : x - Step 2: Convert to fraction form
34,396,150,145,508/47,466,685,385,508 = 18,575,494,455,180/x - Step 3: Cross multiply
34,396,150,145,508x = 47,466,685,385,508 × 18,575,494,455,180 - Step 4: Simplify right side
34,396,150,145,508x = 881,717,151,184,277,395,801,636,864 - Step 5: Solve for x
x = 881,717,151,184,277,395,801,636,864/34,396,150,145,508 - Step 6: Final answer
x = 25,634,181,367,807.12
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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.