Finding the Fourth Proportional to 38,185,618,183,558, 57,278,427,210,604 and 9,175,628,044,366
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Solution
The fourth proportional to 38,185,618,183,558, 57,278,427,210,604 and 9,175,628,044,366 is: 13,763,442,050,994.30
Step by Step Solution
- Step 1: Write the proportion equation
38,185,618,183,558 : 57,278,427,210,604 = 9,175,628,044,366 : x - Step 2: Convert to fraction form
38,185,618,183,558/57,278,427,210,604 = 9,175,628,044,366/x - Step 3: Cross multiply
38,185,618,183,558x = 57,278,427,210,604 × 9,175,628,044,366 - Step 4: Simplify right side
38,185,618,183,558x = 525,565,543,050,794,655,922,782,208 - Step 5: Solve for x
x = 525,565,543,050,794,655,922,782,208/38,185,618,183,558 - Step 6: Final answer
x = 13,763,442,050,994.30
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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.