Finding the Fourth Proportional to 24,742,410,849.12, 34,145,651,335.68 and 14,581,567,558.56
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Solution
The fourth proportional to 24,742,410,849.12, 34,145,651,335.68 and 14,581,567,558.56 is: 20,123,225,857.76
Step by Step Solution
- Step 1: Write the proportion equation
24,742,410,849.12 : 34,145,651,335.68 = 14,581,567,558.56 : x - Step 2: Convert to fraction form
24,742,410,849.12/34,145,651,335.68 = 14,581,567,558.56/x - Step 3: Cross multiply
24,742,410,849.12x = 34,145,651,335.68 × 14,581,567,558.56 - Step 4: Simplify right side
24,742,410,849.12x = 497,897,121,782,252,437,504 - Step 5: Solve for x
x = 497,897,121,782,252,437,504/24,742,410,849.12 - Step 6: Final answer
x = 20,123,225,857.76
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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.