Finding the Fourth Proportional to 40,347,163,949,990, 55,679,139,945,270 and 21,849,164,452,515
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Solution
The fourth proportional to 40,347,163,949,990, 55,679,139,945,270 and 21,849,164,452,515 is: 30,151,876,021,489.31
Step by Step Solution
- Step 1: Write the proportion equation
40,347,163,949,990 : 55,679,139,945,270 = 21,849,164,452,515 : x - Step 2: Convert to fraction form
40,347,163,949,990/55,679,139,945,270 = 21,849,164,452,515/x - Step 3: Cross multiply
40,347,163,949,990x = 55,679,139,945,270 × 21,849,164,452,515 - Step 4: Simplify right side
40,347,163,949,990x = 1,216,542,685,238,801,276,919,087,104 - Step 5: Solve for x
x = 1,216,542,685,238,801,276,919,087,104/40,347,163,949,990 - Step 6: Final answer
x = 30,151,876,021,489.31
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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.