Finding the Fourth Proportional to 1,647,218,352.20, 2,470,825,545.33 and 420,386,934.92
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Solution
The fourth proportional to 1,647,218,352.20, 2,470,825,545.33 and 420,386,934.92 is: 630,579,896.31
Step by Step Solution
- Step 1: Write the proportion equation
1,647,218,352.20 : 2,470,825,545.33 = 420,386,934.92 : x - Step 2: Convert to fraction form
1,647,218,352.20/2,470,825,545.33 = 420,386,934.92/x - Step 3: Cross multiply
1,647,218,352.20x = 2,470,825,545.33 × 420,386,934.92 - Step 4: Simplify right side
1,647,218,352.20x = 1,038,702,777,723,316,224 - Step 5: Solve for x
x = 1,038,702,777,723,316,224/1,647,218,352.20 - Step 6: Final answer
x = 630,579,896.31
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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.