Finding the Fourth Proportional to 47,946,238,678,076, 66,154,468,981,204 and 27,135,953,346,434
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Solution
The fourth proportional to 47,946,238,678,076, 66,154,468,981,204 and 27,135,953,346,434 is: 37,441,197,337,402.98
Step by Step Solution
- Step 1: Write the proportion equation
47,946,238,678,076 : 66,154,468,981,204 = 27,135,953,346,434 : x - Step 2: Convert to fraction form
47,946,238,678,076/66,154,468,981,204 = 27,135,953,346,434/x - Step 3: Cross multiply
47,946,238,678,076x = 66,154,468,981,204 × 27,135,953,346,434 - Step 4: Simplify right side
47,946,238,678,076x = 1,795,164,583,932,066,913,025,261,568 - Step 5: Solve for x
x = 1,795,164,583,932,066,913,025,261,568/47,946,238,678,076 - Step 6: Final answer
x = 37,441,197,337,402.98
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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.