Finding the Fourth Proportional to 2,006,214,821.20, 3,009,322,231.80 and 695,681,315.20
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Solution
The fourth proportional to 2,006,214,821.20, 3,009,322,231.80 and 695,681,315.20 is: 1,043,521,972.80
Step by Step Solution
- Step 1: Write the proportion equation
2,006,214,821.20 : 3,009,322,231.80 = 695,681,315.20 : x - Step 2: Convert to fraction form
2,006,214,821.20/3,009,322,231.80 = 695,681,315.20/x - Step 3: Cross multiply
2,006,214,821.20x = 3,009,322,231.80 × 695,681,315.20 - Step 4: Simplify right side
2,006,214,821.20x = 2,093,529,248,079,223,552 - Step 5: Solve for x
x = 2,093,529,248,079,223,552/2,006,214,821.20 - Step 6: Final answer
x = 1,043,521,972.80
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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.