Finding the Fourth Proportional to 680,149,606,716.97, 1,020,228,223,745.80 and 226,867,266,756.25
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Solution
The fourth proportional to 680,149,606,716.97, 1,020,228,223,745.80 and 226,867,266,756.25 is: 340,302,172,202.99
Step by Step Solution
- Step 1: Write the proportion equation
680,149,606,716.97 : 1,020,228,223,745.80 = 226,867,266,756.25 : x - Step 2: Convert to fraction form
680,149,606,716.97/1,020,228,223,745.80 = 226,867,266,756.25/x - Step 3: Cross multiply
680,149,606,716.97x = 1,020,228,223,745.80 × 226,867,266,756.25 - Step 4: Simplify right side
680,149,606,716.97x = 231,456,388,588,793,520,717,824 - Step 5: Solve for x
x = 231,456,388,588,793,520,717,824/680,149,606,716.97 - Step 6: Final answer
x = 340,302,172,202.99
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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.