Finding the Fourth Proportional to 37,296,866,611,242, 51,466,221,864,992 and 20,629,481,271,454
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Solution
The fourth proportional to 37,296,866,611,242, 51,466,221,864,992 and 20,629,481,271,454 is: 28,466,773,660,721.55
Step by Step Solution
- Step 1: Write the proportion equation
37,296,866,611,242 : 51,466,221,864,992 = 20,629,481,271,454 : x - Step 2: Convert to fraction form
37,296,866,611,242/51,466,221,864,992 = 20,629,481,271,454/x - Step 3: Cross multiply
37,296,866,611,242x = 51,466,221,864,992 × 20,629,481,271,454 - Step 4: Simplify right side
37,296,866,611,242x = 1,061,721,460,076,348,760,064,524,288 - Step 5: Solve for x
x = 1,061,721,460,076,348,760,064,524,288/37,296,866,611,242 - Step 6: Final answer
x = 28,466,773,660,721.55
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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.