Finding the Fourth Proportional to 4,096,416,973.92, 6,142,137,236.48 and 1,606,294,699.26
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Solution
The fourth proportional to 4,096,416,973.92, 6,142,137,236.48 and 1,606,294,699.26 is: 2,408,466,361.68
Step by Step Solution
- Step 1: Write the proportion equation
4,096,416,973.92 : 6,142,137,236.48 = 1,606,294,699.26 : x - Step 2: Convert to fraction form
4,096,416,973.92/6,142,137,236.48 = 1,606,294,699.26/x - Step 3: Cross multiply
4,096,416,973.92x = 6,142,137,236.48 × 1,606,294,699.26 - Step 4: Simplify right side
4,096,416,973.92x = 9,866,082,485,085,288,448 - Step 5: Solve for x
x = 9,866,082,485,085,288,448/4,096,416,973.92 - Step 6: Final answer
x = 2,408,466,361.68
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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.