Finding the Fourth Proportional to 4,102,073,076.62, 5,659,127,408.48 and 2,746,143,813.07
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Solution
The fourth proportional to 4,102,073,076.62, 5,659,127,408.48 and 2,746,143,813.07 is: 3,788,518,007.82
Step by Step Solution
- Step 1: Write the proportion equation
4,102,073,076.62 : 5,659,127,408.48 = 2,746,143,813.07 : x - Step 2: Convert to fraction form
4,102,073,076.62/5,659,127,408.48 = 2,746,143,813.07/x - Step 3: Cross multiply
4,102,073,076.62x = 5,659,127,408.48 × 2,746,143,813.07 - Step 4: Simplify right side
4,102,073,076.62x = 15,540,777,720,165,275,648 - Step 5: Solve for x
x = 15,540,777,720,165,275,648/4,102,073,076.62 - Step 6: Final answer
x = 3,788,518,007.82
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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.