Finding the Fourth Proportional to 2,121,423,257,346.30, 3,182,134,882,449.60 and 509,757,138,502.45
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Solution
The fourth proportional to 2,121,423,257,346.30, 3,182,134,882,449.60 and 509,757,138,502.45 is: 764,635,706,895.88
Step by Step Solution
- Step 1: Write the proportion equation
2,121,423,257,346.30 : 3,182,134,882,449.60 = 509,757,138,502.45 : x - Step 2: Convert to fraction form
2,121,423,257,346.30/3,182,134,882,449.60 = 509,757,138,502.45/x - Step 3: Cross multiply
2,121,423,257,346.30x = 3,182,134,882,449.60 × 509,757,138,502.45 - Step 4: Simplify right side
2,121,423,257,346.30x = 1,622,115,972,006,338,342,420,480 - Step 5: Solve for x
x = 1,622,115,972,006,338,342,420,480/2,121,423,257,346.30 - Step 6: Final answer
x = 764,635,706,895.88
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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.