Finding the Fourth Proportional to 4,242,846,464,863, 6,364,269,690,102.40 and 1,019,514,227,175.30
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Solution
The fourth proportional to 4,242,846,464,863, 6,364,269,690,102.40 and 1,019,514,227,175.30 is: 1,529,271,339,034.76
Step by Step Solution
- Step 1: Write the proportion equation
4,242,846,464,863 : 6,364,269,690,102.40 = 1,019,514,227,175.30 : x - Step 2: Convert to fraction form
4,242,846,464,863/6,364,269,690,102.40 = 1,019,514,227,175.30/x - Step 3: Cross multiply
4,242,846,464,863x = 6,364,269,690,102.40 × 1,019,514,227,175.30 - Step 4: Simplify right side
4,242,846,464,863x = 6,488,463,494,639,934,626,594,816 - Step 5: Solve for x
x = 6,488,463,494,639,934,626,594,816/4,242,846,464,863 - Step 6: Final answer
x = 1,529,271,339,034.76
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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.