Finding the Fourth Proportional to 3,783,702,575.24, 5,675,533,217.64 and 1,542,741,099.03
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Solution
The fourth proportional to 3,783,702,575.24, 5,675,533,217.64 and 1,542,741,099.03 is: 2,314,103,230.80
Step by Step Solution
- Step 1: Write the proportion equation
3,783,702,575.24 : 5,675,533,217.64 = 1,542,741,099.03 : x - Step 2: Convert to fraction form
3,783,702,575.24/5,675,533,217.64 = 1,542,741,099.03/x - Step 3: Cross multiply
3,783,702,575.24x = 5,675,533,217.64 × 1,542,741,099.03 - Step 4: Simplify right side
3,783,702,575.24x = 8,755,878,353,767,833,600 - Step 5: Solve for x
x = 8,755,878,353,767,833,600/3,783,702,575.24 - Step 6: Final answer
x = 2,314,103,230.80
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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.