Finding the Fourth Proportional to 2,169,288,153,815, 2,993,618,140,903.50 and 1,193,806,029,251.50
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Solution
The fourth proportional to 2,169,288,153,815, 2,993,618,140,903.50 and 1,193,806,029,251.50 is: 1,647,452,589,275.53
Step by Step Solution
- Step 1: Write the proportion equation
2,169,288,153,815 : 2,993,618,140,903.50 = 1,193,806,029,251.50 : x - Step 2: Convert to fraction form
2,169,288,153,815/2,993,618,140,903.50 = 1,193,806,029,251.50/x - Step 3: Cross multiply
2,169,288,153,815x = 2,993,618,140,903.50 × 1,193,806,029,251.50 - Step 4: Simplify right side
2,169,288,153,815x = 3,573,799,385,887,264,833,798,144 - Step 5: Solve for x
x = 3,573,799,385,887,264,833,798,144/2,169,288,153,815 - Step 6: Final answer
x = 1,647,452,589,275.53
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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.