Finding the Fourth Proportional to 11,700,908,368,685, 16,147,291,279,606 and 6,498,337,037,678.20
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Solution
The fourth proportional to 11,700,908,368,685, 16,147,291,279,606 and 6,498,337,037,678.20 is: 8,967,726,066,573.28
Step by Step Solution
- Step 1: Write the proportion equation
11,700,908,368,685 : 16,147,291,279,606 = 6,498,337,037,678.20 : x - Step 2: Convert to fraction form
11,700,908,368,685/16,147,291,279,606 = 6,498,337,037,678.20/x - Step 3: Cross multiply
11,700,908,368,685x = 16,147,291,279,606 × 6,498,337,037,678.20 - Step 4: Simplify right side
11,700,908,368,685x = 104,930,540,980,441,883,279,884,288 - Step 5: Solve for x
x = 104,930,540,980,441,883,279,884,288/11,700,908,368,685 - Step 6: Final answer
x = 8,967,726,066,573.28
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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.