Finding the Fourth Proportional to 1,437,538,686,777.20, 2,156,440,588,124.20 and 469,452,201,148.66
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Solution
The fourth proportional to 1,437,538,686,777.20, 2,156,440,588,124.20 and 469,452,201,148.66 is: 704,221,590,732.13
Step by Step Solution
- Step 1: Write the proportion equation
1,437,538,686,777.20 : 2,156,440,588,124.20 = 469,452,201,148.66 : x - Step 2: Convert to fraction form
1,437,538,686,777.20/2,156,440,588,124.20 = 469,452,201,148.66/x - Step 3: Cross multiply
1,437,538,686,777.20x = 2,156,440,588,124.20 × 469,452,201,148.66 - Step 4: Simplify right side
1,437,538,686,777.20x = 1,012,345,780,741,216,546,062,336 - Step 5: Solve for x
x = 1,012,345,780,741,216,546,062,336/1,437,538,686,777.20 - Step 6: Final answer
x = 704,221,590,732.13
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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.