Finding the Fourth Proportional to 265,401,493,780.68, 398,385,541,653.66 and 114,382,323,653.94
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Solution
The fourth proportional to 265,401,493,780.68, 398,385,541,653.66 and 114,382,323,653.94 is: 171,695,582,098.48
Step by Step Solution
- Step 1: Write the proportion equation
265,401,493,780.68 : 398,385,541,653.66 = 114,382,323,653.94 : x - Step 2: Convert to fraction form
265,401,493,780.68/398,385,541,653.66 = 114,382,323,653.94/x - Step 3: Cross multiply
265,401,493,780.68x = 398,385,541,653.66 × 114,382,323,653.94 - Step 4: Simplify right side
265,401,493,780.68x = 45,568,263,964,479,132,270,592 - Step 5: Solve for x
x = 45,568,263,964,479,132,270,592/265,401,493,780.68 - Step 6: Final answer
x = 171,695,582,098.48
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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.