Finding the Fourth Proportional to 25,170,211,100,980, 34,734,524,675,438 and 14,059,018,133,540
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Solution
The fourth proportional to 25,170,211,100,980, 34,734,524,675,438 and 14,059,018,133,540 is: 19,401,240,232,461.23
Step by Step Solution
- Step 1: Write the proportion equation
25,170,211,100,980 : 34,734,524,675,438 = 14,059,018,133,540 : x - Step 2: Convert to fraction form
25,170,211,100,980/34,734,524,675,438 = 14,059,018,133,540/x - Step 3: Cross multiply
25,170,211,100,980x = 34,734,524,675,438 × 14,059,018,133,540 - Step 4: Simplify right side
25,170,211,100,980x = 488,333,312,271,875,409,123,999,744 - Step 5: Solve for x
x = 488,333,312,271,875,409,123,999,744/25,170,211,100,980 - Step 6: Final answer
x = 19,401,240,232,461.23
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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.