Finding the Fourth Proportional to 17,845,382,125,380, 26,780,300,467,704 and 6,228,283,410,203
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Solution
The fourth proportional to 17,845,382,125,380, 26,780,300,467,704 and 6,228,283,410,203 is: 9,346,692,603,798.80
Step by Step Solution
- Step 1: Write the proportion equation
17,845,382,125,380 : 26,780,300,467,704 = 6,228,283,410,203 : x - Step 2: Convert to fraction form
17,845,382,125,380/26,780,300,467,704 = 6,228,283,410,203/x - Step 3: Cross multiply
17,845,382,125,380x = 26,780,300,467,704 × 6,228,283,410,203 - Step 4: Simplify right side
17,845,382,125,380x = 166,795,301,123,252,450,714,714,112 - Step 5: Solve for x
x = 166,795,301,123,252,450,714,714,112/17,845,382,125,380 - Step 6: Final answer
x = 9,346,692,603,798.80
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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.