Finding the Fourth Proportional to 75,114,914,815.68, 103,660,915,183.20 and 41,281,595,113.92
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Solution
The fourth proportional to 75,114,914,815.68, 103,660,915,183.20 and 41,281,595,113.92 is: 56,969,883,281.26
Step by Step Solution
- Step 1: Write the proportion equation
75,114,914,815.68 : 103,660,915,183.20 = 41,281,595,113.92 : x - Step 2: Convert to fraction form
75,114,914,815.68/103,660,915,183.20 = 41,281,595,113.92/x - Step 3: Cross multiply
75,114,914,815.68x = 103,660,915,183.20 × 41,281,595,113.92 - Step 4: Simplify right side
75,114,914,815.68x = 4,279,287,929,731,264,544,768 - Step 5: Solve for x
x = 4,279,287,929,731,264,544,768/75,114,914,815.68 - Step 6: Final answer
x = 56,969,883,281.26
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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.