Finding the Fourth Proportional to 2,165,750,047,177, 2,988,806,741,224.10 and 1,190,302,497,835.10
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Solution
The fourth proportional to 2,165,750,047,177, 2,988,806,741,224.10 and 1,190,302,497,835.10 is: 1,642,656,840,415.47
Step by Step Solution
- Step 1: Write the proportion equation
2,165,750,047,177 : 2,988,806,741,224.10 = 1,190,302,497,835.10 : x - Step 2: Convert to fraction form
2,165,750,047,177/2,988,806,741,224.10 = 1,190,302,497,835.10/x - Step 3: Cross multiply
2,165,750,047,177x = 2,988,806,741,224.10 × 1,190,302,497,835.10 - Step 4: Simplify right side
2,165,750,047,177x = 3,557,584,129,625,431,908,286,464 - Step 5: Solve for x
x = 3,557,584,129,625,431,908,286,464/2,165,750,047,177 - Step 6: Final answer
x = 1,642,656,840,415.47
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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.