Finding the Fourth Proportional to 31,029,398,481,771, 46,544,142,518,518 and 12,671,514,096,848
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Solution
The fourth proportional to 31,029,398,481,771, 46,544,142,518,518 and 12,671,514,096,848 is: 19,007,289,438,613.74
Step by Step Solution
- Step 1: Write the proportion equation
31,029,398,481,771 : 46,544,142,518,518 = 12,671,514,096,848 : x - Step 2: Convert to fraction form
31,029,398,481,771/46,544,142,518,518 = 12,671,514,096,848/x - Step 3: Cross multiply
31,029,398,481,771x = 46,544,142,518,518 × 12,671,514,096,848 - Step 4: Simplify right side
31,029,398,481,771x = 589,784,758,049,103,197,811,769,344 - Step 5: Solve for x
x = 589,784,758,049,103,197,811,769,344/31,029,398,481,771 - Step 6: Final answer
x = 19,007,289,438,613.74
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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.