Finding the Fourth Proportional to 12,066,221,378,645, 18,099,332,067,968 and 12,066,221,378,645
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Solution
The fourth proportional to 12,066,221,378,645, 18,099,332,067,968 and 12,066,221,378,645 is: 18,099,332,067,968
Step by Step Solution
- Step 1: Write the proportion equation
12,066,221,378,645 : 18,099,332,067,968 = 12,066,221,378,645 : x - Step 2: Convert to fraction form
12,066,221,378,645/18,099,332,067,968 = 12,066,221,378,645/x - Step 3: Cross multiply
12,066,221,378,645x = 18,099,332,067,968 × 12,066,221,378,645 - Step 4: Simplify right side
12,066,221,378,645x = 218,390,547,537,710,514,010,324,992 - Step 5: Solve for x
x = 218,390,547,537,710,514,010,324,992/12,066,221,378,645 - Step 6: Final answer
x = 18,099,332,067,968
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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.