Finding the Fourth Proportional to 17,845,382,125,382, 26,780,300,467,704 and 6,228,283,410,205
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Solution
The fourth proportional to 17,845,382,125,382, 26,780,300,467,704 and 6,228,283,410,205 is: 9,346,692,603,800.75
Step by Step Solution
- Step 1: Write the proportion equation
17,845,382,125,382 : 26,780,300,467,704 = 6,228,283,410,205 : x - Step 2: Convert to fraction form
17,845,382,125,382/26,780,300,467,704 = 6,228,283,410,205/x - Step 3: Cross multiply
17,845,382,125,382x = 26,780,300,467,704 × 6,228,283,410,205 - Step 4: Simplify right side
17,845,382,125,382x = 166,795,301,123,306,017,546,829,824 - Step 5: Solve for x
x = 166,795,301,123,306,017,546,829,824/17,845,382,125,382 - Step 6: Final answer
x = 9,346,692,603,800.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.