Finding the Fourth Proportional to 2,121,423,232,431.50, 3,182,134,845,051.20 and 509,757,113,587.65
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Solution
The fourth proportional to 2,121,423,232,431.50, 3,182,134,845,051.20 and 509,757,113,587.65 is: 764,635,669,517.38
Step by Step Solution
- Step 1: Write the proportion equation
2,121,423,232,431.50 : 3,182,134,845,051.20 = 509,757,113,587.65 : x - Step 2: Convert to fraction form
2,121,423,232,431.50/3,182,134,845,051.20 = 509,757,113,587.65/x - Step 3: Cross multiply
2,121,423,232,431.50x = 3,182,134,845,051.20 × 509,757,113,587.65 - Step 4: Simplify right side
2,121,423,232,431.50x = 1,622,115,873,659,983,656,648,704 - Step 5: Solve for x
x = 1,622,115,873,659,983,656,648,704/2,121,423,232,431.50 - Step 6: Final answer
x = 764,635,669,517.38
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Double scale
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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.