Finding the Fourth Proportional to 1,431,321,354,160.70, 2,146,967,882,659.80 and 655,753,618,273.26
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Solution
The fourth proportional to 1,431,321,354,160.70, 2,146,967,882,659.80 and 655,753,618,273.26 is: 983,623,945,299.27
Step by Step Solution
- Step 1: Write the proportion equation
1,431,321,354,160.70 : 2,146,967,882,659.80 = 655,753,618,273.26 : x - Step 2: Convert to fraction form
1,431,321,354,160.70/2,146,967,882,659.80 = 655,753,618,273.26/x - Step 3: Cross multiply
1,431,321,354,160.70x = 2,146,967,882,659.80 × 655,753,618,273.26 - Step 4: Simplify right side
1,431,321,354,160.70x = 1,407,881,957,370,643,689,242,624 - Step 5: Solve for x
x = 1,407,881,957,370,643,689,242,624/1,431,321,354,160.70 - Step 6: Final answer
x = 983,623,945,299.27
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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.