Finding the Fourth Proportional to 4,137,213,199.64, 5,709,475,344.68 and 2,257,739,626.19
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Solution
The fourth proportional to 4,137,213,199.64, 5,709,475,344.68 and 2,257,739,626.19 is: 3,115,746,786.15
Step by Step Solution
- Step 1: Write the proportion equation
4,137,213,199.64 : 5,709,475,344.68 = 2,257,739,626.19 : x - Step 2: Convert to fraction form
4,137,213,199.64/5,709,475,344.68 = 2,257,739,626.19/x - Step 3: Cross multiply
4,137,213,199.64x = 5,709,475,344.68 × 2,257,739,626.19 - Step 4: Simplify right side
4,137,213,199.64x = 12,890,508,730,399,008,768 - Step 5: Solve for x
x = 12,890,508,730,399,008,768/4,137,213,199.64 - Step 6: Final answer
x = 3,115,746,786.15
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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.