Finding the Fourth Proportional to 1,171,264,906,810.20, 1,616,256,866,638.70 and 657,331,444,035.44
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Solution
The fourth proportional to 1,171,264,906,810.20, 1,616,256,866,638.70 and 657,331,444,035.44 is: 907,067,610,326.67
Step by Step Solution
- Step 1: Write the proportion equation
1,171,264,906,810.20 : 1,616,256,866,638.70 = 657,331,444,035.44 : x - Step 2: Convert to fraction form
1,171,264,906,810.20/1,616,256,866,638.70 = 657,331,444,035.44/x - Step 3: Cross multiply
1,171,264,906,810.20x = 1,616,256,866,638.70 × 657,331,444,035.44 - Step 4: Simplify right side
1,171,264,906,810.20x = 1,062,416,460,079,812,120,150,016 - Step 5: Solve for x
x = 1,062,416,460,079,812,120,150,016/1,171,264,906,810.20 - Step 6: Final answer
x = 907,067,610,326.67
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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.