Finding the Fourth Proportional to 17,008,763,584,665, 23,471,843,948,372 and 9,500,242,374,990
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Solution
The fourth proportional to 17,008,763,584,665, 23,471,843,948,372 and 9,500,242,374,990 is: 13,110,194,952,590.27
Step by Step Solution
- Step 1: Write the proportion equation
17,008,763,584,665 : 23,471,843,948,372 = 9,500,242,374,990 : x - Step 2: Convert to fraction form
17,008,763,584,665/23,471,843,948,372 = 9,500,242,374,990/x - Step 3: Cross multiply
17,008,763,584,665x = 23,471,843,948,372 × 9,500,242,374,990 - Step 4: Simplify right side
17,008,763,584,665x = 222,988,206,497,476,262,894,764,032 - Step 5: Solve for x
x = 222,988,206,497,476,262,894,764,032/17,008,763,584,665 - Step 6: Final answer
x = 13,110,194,952,590.27
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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.