Finding the Fourth Proportional to 47,946,238,678,075, 66,154,468,981,201 and 27,135,953,346,431
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Solution
The fourth proportional to 47,946,238,678,075, 66,154,468,981,201 and 27,135,953,346,431 is: 37,441,197,337,397.92
Step by Step Solution
- Step 1: Write the proportion equation
47,946,238,678,075 : 66,154,468,981,201 = 27,135,953,346,431 : x - Step 2: Convert to fraction form
47,946,238,678,075/66,154,468,981,201 = 27,135,953,346,431/x - Step 3: Cross multiply
47,946,238,678,075x = 66,154,468,981,201 × 27,135,953,346,431 - Step 4: Simplify right side
47,946,238,678,075x = 1,795,164,583,931,787,087,315,992,576 - Step 5: Solve for x
x = 1,795,164,583,931,787,087,315,992,576/47,946,238,678,075 - Step 6: Final answer
x = 37,441,197,337,397.92
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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.