Finding the Fourth Proportional to 10,172,750,785,310, 15,259,125,336,414 and 2,821,305,411,161.80
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Solution
The fourth proportional to 10,172,750,785,310, 15,259,125,336,414 and 2,821,305,411,161.80 is: 4,231,957,883,347.38
Step by Step Solution
- Step 1: Write the proportion equation
10,172,750,785,310 : 15,259,125,336,414 = 2,821,305,411,161.80 : x - Step 2: Convert to fraction form
10,172,750,785,310/15,259,125,336,414 = 2,821,305,411,161.80/x - Step 3: Cross multiply
10,172,750,785,310x = 15,259,125,336,414 × 2,821,305,411,161.80 - Step 4: Simplify right side
10,172,750,785,310x = 43,050,652,881,220,937,814,376,448 - Step 5: Solve for x
x = 43,050,652,881,220,937,814,376,448/10,172,750,785,310 - Step 6: Final answer
x = 4,231,957,883,347.38
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.