Finding the Fourth Proportional to 17,677,518,358,866, 24,394,715,715,078 and 9,873,775,247,524
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Solution
The fourth proportional to 17,677,518,358,866, 24,394,715,715,078 and 9,873,775,247,524 is: 13,625,664,830,783.04
Step by Step Solution
- Step 1: Write the proportion equation
17,677,518,358,866 : 24,394,715,715,078 = 9,873,775,247,524 : x - Step 2: Convert to fraction form
17,677,518,358,866/24,394,715,715,078 = 9,873,775,247,524/x - Step 3: Cross multiply
17,677,518,358,866x = 24,394,715,715,078 × 9,873,775,247,524 - Step 4: Simplify right side
17,677,518,358,866x = 240,867,940,197,921,908,961,837,056 - Step 5: Solve for x
x = 240,867,940,197,921,908,961,837,056/17,677,518,358,866 - Step 6: Final answer
x = 13,625,664,830,783.04
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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.