Finding the Fourth Proportional to 3,119,780,816.10, 4,302,787,163.34 and 2,742,631,006.68
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Solution
The fourth proportional to 3,119,780,816.10, 4,302,787,163.34 and 2,742,631,006.68 is: 3,782,623,903.71
Step by Step Solution
- Step 1: Write the proportion equation
3,119,780,816.10 : 4,302,787,163.34 = 2,742,631,006.68 : x - Step 2: Convert to fraction form
3,119,780,816.10/4,302,787,163.34 = 2,742,631,006.68/x - Step 3: Cross multiply
3,119,780,816.10x = 4,302,787,163.34 × 2,742,631,006.68 - Step 4: Simplify right side
3,119,780,816.10x = 11,800,957,489,320,966,144 - Step 5: Solve for x
x = 11,800,957,489,320,966,144/3,119,780,816.10 - Step 6: Final answer
x = 3,782,623,903.71
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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.