Finding the Fourth Proportional to 4,745,617,991.71, 7,119,809,189.42 and 2,124,809,185.12
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Solution
The fourth proportional to 4,745,617,991.71, 7,119,809,189.42 and 2,124,809,185.12 is: 3,187,832,646.54
Step by Step Solution
- Step 1: Write the proportion equation
4,745,617,991.71 : 7,119,809,189.42 = 2,124,809,185.12 : x - Step 2: Convert to fraction form
4,745,617,991.71/7,119,809,189.42 = 2,124,809,185.12/x - Step 3: Cross multiply
4,745,617,991.71x = 7,119,809,189.42 × 2,124,809,185.12 - Step 4: Simplify right side
4,745,617,991.71x = 15,128,235,961,981,396,992 - Step 5: Solve for x
x = 15,128,235,961,981,396,992/4,745,617,991.71 - Step 6: Final answer
x = 3,187,832,646.54
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1.5x scale
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.