Finding the Fourth Proportional to 16,839,629,787,320, 25,215,942,146,518 and 11,622,132,072,362
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Solution
The fourth proportional to 16,839,629,787,320, 25,215,942,146,518 and 11,622,132,072,362 is: 17,403,174,158,647.11
Step by Step Solution
- Step 1: Write the proportion equation
16,839,629,787,320 : 25,215,942,146,518 = 11,622,132,072,362 : x - Step 2: Convert to fraction form
16,839,629,787,320/25,215,942,146,518 = 11,622,132,072,362/x - Step 3: Cross multiply
16,839,629,787,320x = 25,215,942,146,518 × 11,622,132,072,362 - Step 4: Simplify right side
16,839,629,787,320x = 293,063,009,955,871,549,235,920,896 - Step 5: Solve for x
x = 293,063,009,955,871,549,235,920,896/16,839,629,787,320 - Step 6: Final answer
x = 17,403,174,158,647.11
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.