Finding the Fourth Proportional to 46,213,301,717,912, 69,320,247,972,180 and 13,576,929,319,248
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Solution
The fourth proportional to 46,213,301,717,912, 69,320,247,972,180 and 13,576,929,319,248 is: 20,365,480,762,571.13
Step by Step Solution
- Step 1: Write the proportion equation
46,213,301,717,912 : 69,320,247,972,180 = 13,576,929,319,248 : x - Step 2: Convert to fraction form
46,213,301,717,912/69,320,247,972,180 = 13,576,929,319,248/x - Step 3: Cross multiply
46,213,301,717,912x = 69,320,247,972,180 × 13,576,929,319,248 - Step 4: Simplify right side
46,213,301,717,912x = 941,156,107,111,032,380,305,965,056 - Step 5: Solve for x
x = 941,156,107,111,032,380,305,965,056/46,213,301,717,912 - Step 6: Final answer
x = 20,365,480,762,571.13
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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.