Finding the Fourth Proportional to 10,267,259,482,473, 14,169,157,883,714 and 5,642,915,544,850.80
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Solution
The fourth proportional to 10,267,259,482,473, 14,169,157,883,714 and 5,642,915,544,850.80 is: 7,787,410,205,804.67
Step by Step Solution
- Step 1: Write the proportion equation
10,267,259,482,473 : 14,169,157,883,714 = 5,642,915,544,850.80 : x - Step 2: Convert to fraction form
10,267,259,482,473/14,169,157,883,714 = 5,642,915,544,850.80/x - Step 3: Cross multiply
10,267,259,482,473x = 14,169,157,883,714 × 5,642,915,544,850.80 - Step 4: Simplify right side
10,267,259,482,473x = 79,955,361,279,454,996,785,528,832 - Step 5: Solve for x
x = 79,955,361,279,454,996,785,528,832/10,267,259,482,473 - Step 6: Final answer
x = 7,787,410,205,804.67
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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.