Finding the Fourth Proportional to 3,106,452,575.34, 4,286,876,254.74 and 1,696,756,164.54
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Solution
The fourth proportional to 3,106,452,575.34, 4,286,876,254.74 and 1,696,756,164.54 is: 2,341,508,049.92
Step by Step Solution
- Step 1: Write the proportion equation
3,106,452,575.34 : 4,286,876,254.74 = 1,696,756,164.54 : x - Step 2: Convert to fraction form
3,106,452,575.34/4,286,876,254.74 = 1,696,756,164.54/x - Step 3: Cross multiply
3,106,452,575.34x = 4,286,876,254.74 × 1,696,756,164.54 - Step 4: Simplify right side
3,106,452,575.34x = 7,273,783,711,850,242,048 - Step 5: Solve for x
x = 7,273,783,711,850,242,048/3,106,452,575.34 - Step 6: Final answer
x = 2,341,508,049.92
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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.