Finding the Fourth Proportional to 6,121,425,732,900, 8,447,517,308,695.50 and 3,343,589,735,627.20
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Solution
The fourth proportional to 6,121,425,732,900, 8,447,517,308,695.50 and 3,343,589,735,627.20 is: 4,614,126,413,897.77
Step by Step Solution
- Step 1: Write the proportion equation
6,121,425,732,900 : 8,447,517,308,695.50 = 3,343,589,735,627.20 : x - Step 2: Convert to fraction form
6,121,425,732,900/8,447,517,308,695.50 = 3,343,589,735,627.20/x - Step 3: Cross multiply
6,121,425,732,900x = 8,447,517,308,695.50 × 3,343,589,735,627.20 - Step 4: Simplify right side
6,121,425,732,900x = 28,245,032,164,887,382,542,254,080 - Step 5: Solve for x
x = 28,245,032,164,887,382,542,254,080/6,121,425,732,900 - Step 6: Final answer
x = 4,614,126,413,897.77
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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.