Finding the Fourth Proportional to 1,577,856,348.34, 2,367,107,323.71 and 542,582,777.14
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Solution
The fourth proportional to 1,577,856,348.34, 2,367,107,323.71 and 542,582,777.14 is: 813,985,168.45
Step by Step Solution
- Step 1: Write the proportion equation
1,577,856,348.34 : 2,367,107,323.71 = 542,582,777.14 : x - Step 2: Convert to fraction form
1,577,856,348.34/2,367,107,323.71 = 542,582,777.14/x - Step 3: Cross multiply
1,577,856,348.34x = 2,367,107,323.71 × 542,582,777.14 - Step 4: Simplify right side
1,577,856,348.34x = 1,284,351,665,487,004,672 - Step 5: Solve for x
x = 1,284,351,665,487,004,672/1,577,856,348.34 - Step 6: Final answer
x = 813,985,168.45
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.