Finding the Fourth Proportional to 49,419,095,664,615, 68,198,363,149,032 and 27,196,393,514,403
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Solution
The fourth proportional to 49,419,095,664,615, 68,198,363,149,032 and 27,196,393,514,403 is: 37,531,029,175,980.45
Step by Step Solution
- Step 1: Write the proportion equation
49,419,095,664,615 : 68,198,363,149,032 = 27,196,393,514,403 : x - Step 2: Convert to fraction form
49,419,095,664,615/68,198,363,149,032 = 27,196,393,514,403/x - Step 3: Cross multiply
49,419,095,664,615x = 68,198,363,149,032 × 27,196,393,514,403 - Step 4: Simplify right side
49,419,095,664,615x = 1,854,749,521,239,234,488,706,269,184 - Step 5: Solve for x
x = 1,854,749,521,239,234,488,706,269,184/49,419,095,664,615 - Step 6: Final answer
x = 37,531,029,175,980.45
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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.