Finding the Fourth Proportional to 1,082,410,557.64, 1,493,726,569.68 and 587,373,266.12
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Solution
The fourth proportional to 1,082,410,557.64, 1,493,726,569.68 and 587,373,266.12 is: 810,575,107.32
Step by Step Solution
- Step 1: Write the proportion equation
1,082,410,557.64 : 1,493,726,569.68 = 587,373,266.12 : x - Step 2: Convert to fraction form
1,082,410,557.64/1,493,726,569.68 = 587,373,266.12/x - Step 3: Cross multiply
1,082,410,557.64x = 1,493,726,569.68 × 587,373,266.12 - Step 4: Simplify right side
1,082,410,557.64x = 877,375,053,923,165,440 - Step 5: Solve for x
x = 877,375,053,923,165,440/1,082,410,557.64 - Step 6: Final answer
x = 810,575,107.32
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1.5x scale
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.