Finding the Fourth Proportional to 5,655,197,567,858, 8,482,796,464,029.60 and 1,357,421,251,578.50
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Solution
The fourth proportional to 5,655,197,567,858, 8,482,796,464,029.60 and 1,357,421,251,578.50 is: 2,036,131,904,309.42
Step by Step Solution
- Step 1: Write the proportion equation
5,655,197,567,858 : 8,482,796,464,029.60 = 1,357,421,251,578.50 : x - Step 2: Convert to fraction form
5,655,197,567,858/8,482,796,464,029.60 = 1,357,421,251,578.50/x - Step 3: Cross multiply
5,655,197,567,858x = 8,482,796,464,029.60 × 1,357,421,251,578.50 - Step 4: Simplify right side
5,655,197,567,858x = 11,514,728,193,088,733,382,180,864 - Step 5: Solve for x
x = 11,514,728,193,088,733,382,180,864/5,655,197,567,858 - Step 6: Final answer
x = 2,036,131,904,309.42
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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.