Finding the Fourth Proportional to 2,147,195,700,757, 2,963,193,040,841.60 and 1,171,776,556,348.90
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Solution
The fourth proportional to 2,147,195,700,757, 2,963,193,040,841.60 and 1,171,776,556,348.90 is: 1,617,086,014,083.51
Step by Step Solution
- Step 1: Write the proportion equation
2,147,195,700,757 : 2,963,193,040,841.60 = 1,171,776,556,348.90 : x - Step 2: Convert to fraction form
2,147,195,700,757/2,963,193,040,841.60 = 1,171,776,556,348.90/x - Step 3: Cross multiply
2,147,195,700,757x = 2,963,193,040,841.60 × 1,171,776,556,348.90 - Step 4: Simplify right side
2,147,195,700,757x = 3,472,200,137,194,395,347,714,048 - Step 5: Solve for x
x = 3,472,200,137,194,395,347,714,048/2,147,195,700,757 - Step 6: Final answer
x = 1,617,086,014,083.51
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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.