Finding the Fourth Proportional to 18,584,296,028,529, 25,646,408,251,696 and 10,137,270,474,726
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Solution
The fourth proportional to 18,584,296,028,529, 25,646,408,251,696 and 10,137,270,474,726 is: 13,989,476,747,119.25
Step by Step Solution
- Step 1: Write the proportion equation
18,584,296,028,529 : 25,646,408,251,696 = 10,137,270,474,726 : x - Step 2: Convert to fraction form
18,584,296,028,529/25,646,408,251,696 = 10,137,270,474,726/x - Step 3: Cross multiply
18,584,296,028,529x = 25,646,408,251,696 × 10,137,270,474,726 - Step 4: Simplify right side
18,584,296,028,529x = 259,984,577,152,687,127,251,648,512 - Step 5: Solve for x
x = 259,984,577,152,687,127,251,648,512/18,584,296,028,529 - Step 6: Final answer
x = 13,989,476,747,119.25
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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.