Finding the Fourth Proportional to 2,470,197,998.20, 3,705,296,997.30 and 2,125,824,230.20
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Solution
The fourth proportional to 2,470,197,998.20, 3,705,296,997.30 and 2,125,824,230.20 is: 3,188,736,345.30
Step by Step Solution
- Step 1: Write the proportion equation
2,470,197,998.20 : 3,705,296,997.30 = 2,125,824,230.20 : x - Step 2: Convert to fraction form
2,470,197,998.20/3,705,296,997.30 = 2,125,824,230.20/x - Step 3: Cross multiply
2,470,197,998.20x = 3,705,296,997.30 × 2,125,824,230.20 - Step 4: Simplify right side
2,470,197,998.20x = 7,876,810,136,947,644,416 - Step 5: Solve for x
x = 7,876,810,136,947,644,416/2,470,197,998.20 - Step 6: Final answer
x = 3,188,736,345.30
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1.5x scale
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.