Finding the Fourth Proportional to 17,677,518,358,866, 24,394,715,715,078 and 9,873,775,247,524.10
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Solution
The fourth proportional to 17,677,518,358,866, 24,394,715,715,078 and 9,873,775,247,524.10 is: 13,625,664,830,783.17
Step by Step Solution
- Step 1: Write the proportion equation
17,677,518,358,866 : 24,394,715,715,078 = 9,873,775,247,524.10 : x - Step 2: Convert to fraction form
17,677,518,358,866/24,394,715,715,078 = 9,873,775,247,524.10/x - Step 3: Cross multiply
17,677,518,358,866x = 24,394,715,715,078 × 9,873,775,247,524.10 - Step 4: Simplify right side
17,677,518,358,866x = 240,867,940,197,924,314,143,522,816 - Step 5: Solve for x
x = 240,867,940,197,924,314,143,522,816/17,677,518,358,866 - Step 6: Final answer
x = 13,625,664,830,783.17
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Double scale
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1.5x scale
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.