Finding the Fourth Proportional to 25,646,656,827,786, 35,392,409,228,098 and 13,940,871,333,052
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Solution
The fourth proportional to 25,646,656,827,786, 35,392,409,228,098 and 13,940,871,333,052 is: 19,238,414,836,240.09
Step by Step Solution
- Step 1: Write the proportion equation
25,646,656,827,786 : 35,392,409,228,098 = 13,940,871,333,052 : x - Step 2: Convert to fraction form
25,646,656,827,786/35,392,409,228,098 = 13,940,871,333,052/x - Step 3: Cross multiply
25,646,656,827,786x = 35,392,409,228,098 × 13,940,871,333,052 - Step 4: Simplify right side
25,646,656,827,786x = 493,401,023,215,636,474,654,359,552 - Step 5: Solve for x
x = 493,401,023,215,636,474,654,359,552/25,646,656,827,786 - Step 6: Final answer
x = 19,238,414,836,240.09
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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.