Finding the Fourth Proportional to 1,437,538,686,743.90, 2,156,440,588,074.20 and 469,452,201,115.41
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Solution
The fourth proportional to 1,437,538,686,743.90, 2,156,440,588,074.20 and 469,452,201,115.41 is: 704,221,590,682.24
Step by Step Solution
- Step 1: Write the proportion equation
1,437,538,686,743.90 : 2,156,440,588,074.20 = 469,452,201,115.41 : x - Step 2: Convert to fraction form
1,437,538,686,743.90/2,156,440,588,074.20 = 469,452,201,115.41/x - Step 3: Cross multiply
1,437,538,686,743.90x = 2,156,440,588,074.20 × 469,452,201,115.41 - Step 4: Simplify right side
1,437,538,686,743.90x = 1,012,345,780,646,042,218,266,624 - Step 5: Solve for x
x = 1,012,345,780,646,042,218,266,624/1,437,538,686,743.90 - Step 6: Final answer
x = 704,221,590,682.24
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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.