Finding the Fourth Proportional to 4,137,160,169,451, 5,709,454,482,981.40 and 2,379,311,078,866.60
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Solution
The fourth proportional to 4,137,160,169,451, 5,709,454,482,981.40 and 2,379,311,078,866.60 is: 3,283,549,040,704.63
Step by Step Solution
- Step 1: Write the proportion equation
4,137,160,169,451 : 5,709,454,482,981.40 = 2,379,311,078,866.60 : x - Step 2: Convert to fraction form
4,137,160,169,451/5,709,454,482,981.40 = 2,379,311,078,866.60/x - Step 3: Cross multiply
4,137,160,169,451x = 5,709,454,482,981.40 × 2,379,311,078,866.60 - Step 4: Simplify right side
4,137,160,169,451x = 13,584,568,305,642,223,232,352,256 - Step 5: Solve for x
x = 13,584,568,305,642,223,232,352,256/4,137,160,169,451 - Step 6: Final answer
x = 3,283,549,040,704.63
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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.