Finding the Fourth Proportional to 2,418,235,443,289.80, 3,627,862,605,163.20 and 784,453,367,165.05
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Solution
The fourth proportional to 2,418,235,443,289.80, 3,627,862,605,163.20 and 784,453,367,165.05 is: 1,176,845,308,478.67
Step by Step Solution
- Step 1: Write the proportion equation
2,418,235,443,289.80 : 3,627,862,605,163.20 = 784,453,367,165.05 : x - Step 2: Convert to fraction form
2,418,235,443,289.80/3,627,862,605,163.20 = 784,453,367,165.05/x - Step 3: Cross multiply
2,418,235,443,289.80x = 3,627,862,605,163.20 × 784,453,367,165.05 - Step 4: Simplify right side
2,418,235,443,289.80x = 2,845,889,036,232,442,853,195,776 - Step 5: Solve for x
x = 2,845,889,036,232,442,853,195,776/2,418,235,443,289.80 - Step 6: Final answer
x = 1,176,845,308,478.67
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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.