Finding the Fourth Proportional to 40,347,163,952,806, 55,679,139,949,162 and 21,849,164,455,332
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Solution
The fourth proportional to 40,347,163,952,806, 55,679,139,949,162 and 21,849,164,455,332 is: 30,151,876,025,379.98
Step by Step Solution
- Step 1: Write the proportion equation
40,347,163,952,806 : 55,679,139,949,162 = 21,849,164,455,332 : x - Step 2: Convert to fraction form
40,347,163,952,806/55,679,139,949,162 = 21,849,164,455,332/x - Step 3: Cross multiply
40,347,163,952,806x = 55,679,139,949,162 × 21,849,164,455,332 - Step 4: Simplify right side
40,347,163,952,806x = 1,216,542,685,480,686,413,326,319,616 - Step 5: Solve for x
x = 1,216,542,685,480,686,413,326,319,616/40,347,163,952,806 - Step 6: Final answer
x = 30,151,876,025,379.98
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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.