Finding the Fourth Proportional to 40,347,163,952,824, 55,679,139,949,186 and 21,849,164,455,350
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Solution
The fourth proportional to 40,347,163,952,824, 55,679,139,949,186 and 21,849,164,455,350 is: 30,151,876,025,404.36
Step by Step Solution
- Step 1: Write the proportion equation
40,347,163,952,824 : 55,679,139,949,186 = 21,849,164,455,350 : x - Step 2: Convert to fraction form
40,347,163,952,824/55,679,139,949,186 = 21,849,164,455,350/x - Step 3: Cross multiply
40,347,163,952,824x = 55,679,139,949,186 × 21,849,164,455,350 - Step 4: Simplify right side
40,347,163,952,824x = 1,216,542,685,482,212,947,782,533,120 - Step 5: Solve for x
x = 1,216,542,685,482,212,947,782,533,120/40,347,163,952,824 - Step 6: Final answer
x = 30,151,876,025,404.36
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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.