Finding the Fourth Proportional to 31,197,794,426,066, 46,788,958,514,228 and 10,544,715,339,510
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Solution
The fourth proportional to 31,197,794,426,066, 46,788,958,514,228 and 10,544,715,339,510 is: 15,814,459,247,556.85
Step by Step Solution
- Step 1: Write the proportion equation
31,197,794,426,066 : 46,788,958,514,228 = 10,544,715,339,510 : x - Step 2: Convert to fraction form
31,197,794,426,066/46,788,958,514,228 = 10,544,715,339,510/x - Step 3: Cross multiply
31,197,794,426,066x = 46,788,958,514,228 × 10,544,715,339,510 - Step 4: Simplify right side
31,197,794,426,066x = 493,376,248,564,676,976,130,916,352 - Step 5: Solve for x
x = 493,376,248,564,676,976,130,916,352/31,197,794,426,066 - Step 6: Final answer
x = 15,814,459,247,556.85
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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.