Finding the Fourth Proportional to 11,700,908,368,550, 16,147,291,279,417 and 6,498,337,037,544.80
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Solution
The fourth proportional to 11,700,908,368,550, 16,147,291,279,417 and 6,498,337,037,544.80 is: 8,967,726,066,387.69
Step by Step Solution
- Step 1: Write the proportion equation
11,700,908,368,550 : 16,147,291,279,417 = 6,498,337,037,544.80 : x - Step 2: Convert to fraction form
11,700,908,368,550/16,147,291,279,417 = 6,498,337,037,544.80/x - Step 3: Cross multiply
11,700,908,368,550x = 16,147,291,279,417 × 6,498,337,037,544.80 - Step 4: Simplify right side
11,700,908,368,550x = 104,930,540,977,059,648,073,891,840 - Step 5: Solve for x
x = 104,930,540,977,059,648,073,891,840/11,700,908,368,550 - Step 6: Final answer
x = 8,967,726,066,387.69
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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.