Finding the Fourth Proportional to 2,165,750,047,174.70, 2,988,806,741,221.20 and 1,190,302,497,832.80
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Solution
The fourth proportional to 2,165,750,047,174.70, 2,988,806,741,221.20 and 1,190,302,497,832.80 is: 1,642,656,840,412.45
Step by Step Solution
- Step 1: Write the proportion equation
2,165,750,047,174.70 : 2,988,806,741,221.20 = 1,190,302,497,832.80 : x - Step 2: Convert to fraction form
2,165,750,047,174.70/2,988,806,741,221.20 = 1,190,302,497,832.80/x - Step 3: Cross multiply
2,165,750,047,174.70x = 2,988,806,741,221.20 × 1,190,302,497,832.80 - Step 4: Simplify right side
2,165,750,047,174.70x = 3,557,584,129,615,105,733,165,056 - Step 5: Solve for x
x = 3,557,584,129,615,105,733,165,056/2,165,750,047,174.70 - Step 6: Final answer
x = 1,642,656,840,412.45
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.