Finding the Fourth Proportional to 4,758,268,847.65, 6,566,588,222.81 and 2,853,340,463.68
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Solution
The fourth proportional to 4,758,268,847.65, 6,566,588,222.81 and 2,853,340,463.68 is: 3,937,716,107.34
Step by Step Solution
- Step 1: Write the proportion equation
4,758,268,847.65 : 6,566,588,222.81 = 2,853,340,463.68 : x - Step 2: Convert to fraction form
4,758,268,847.65/6,566,588,222.81 = 2,853,340,463.68/x - Step 3: Cross multiply
4,758,268,847.65x = 6,566,588,222.81 × 2,853,340,463.68 - Step 4: Simplify right side
4,758,268,847.65x = 18,736,711,884,437,626,880 - Step 5: Solve for x
x = 18,736,711,884,437,626,880/4,758,268,847.65 - Step 6: Final answer
x = 3,937,716,107.34
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1.5x scale
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.