Finding the Fourth Proportional to 990,714,381,445.95, 1,486,285,469,218.90 and 301,570,275,585.97
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Solution
The fourth proportional to 990,714,381,445.95, 1,486,285,469,218.90 and 301,570,275,585.97 is: 452,420,522,953.94
Step by Step Solution
- Step 1: Write the proportion equation
990,714,381,445.95 : 1,486,285,469,218.90 = 301,570,275,585.97 : x - Step 2: Convert to fraction form
990,714,381,445.95/1,486,285,469,218.90 = 301,570,275,585.97/x - Step 3: Cross multiply
990,714,381,445.95x = 1,486,285,469,218.90 × 301,570,275,585.97 - Step 4: Simplify right side
990,714,381,445.95x = 448,219,518,551,766,325,002,240 - Step 5: Solve for x
x = 448,219,518,551,766,325,002,240/990,714,381,445.95 - Step 6: Final answer
x = 452,420,522,953.94
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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.