Finding the Fourth Proportional to 5,488,700,057,114, 7,585,273,692,754.40 and 4,498,347,131,538.80
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Solution
The fourth proportional to 5,488,700,057,114, 7,585,273,692,754.40 and 4,498,347,131,538.80 is: 6,216,625,758,864.96
Step by Step Solution
- Step 1: Write the proportion equation
5,488,700,057,114 : 7,585,273,692,754.40 = 4,498,347,131,538.80 : x - Step 2: Convert to fraction form
5,488,700,057,114/7,585,273,692,754.40 = 4,498,347,131,538.80/x - Step 3: Cross multiply
5,488,700,057,114x = 7,585,273,692,754.40 × 4,498,347,131,538.80 - Step 4: Simplify right side
5,488,700,057,114x = 34,121,194,157,738,474,476,666,880 - Step 5: Solve for x
x = 34,121,194,157,738,474,476,666,880/5,488,700,057,114 - Step 6: Final answer
x = 6,216,625,758,864.96
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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.