Finding the Fourth Proportional to 2,031,714,767.08, 3,046,841,414.94 and 703,382,120.68
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Solution
The fourth proportional to 2,031,714,767.08, 3,046,841,414.94 and 703,382,120.68 is: 1,054,820,199.44
Step by Step Solution
- Step 1: Write the proportion equation
2,031,714,767.08 : 3,046,841,414.94 = 703,382,120.68 : x - Step 2: Convert to fraction form
2,031,714,767.08/3,046,841,414.94 = 703,382,120.68/x - Step 3: Cross multiply
2,031,714,767.08x = 3,046,841,414.94 × 703,382,120.68 - Step 4: Simplify right side
2,031,714,767.08x = 2,143,093,775,816,148,992 - Step 5: Solve for x
x = 2,143,093,775,816,148,992/2,031,714,767.08 - Step 6: Final answer
x = 1,054,820,199.44
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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.