Finding the Fourth Proportional to 4,190,866,536.32, 5,783,401,555.68 and 2,285,632,617.92
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Solution
The fourth proportional to 4,190,866,536.32, 5,783,401,555.68 and 2,285,632,617.92 is: 3,154,176,140.81
Step by Step Solution
- Step 1: Write the proportion equation
4,190,866,536.32 : 5,783,401,555.68 = 2,285,632,617.92 : x - Step 2: Convert to fraction form
4,190,866,536.32/5,783,401,555.68 = 2,285,632,617.92/x - Step 3: Cross multiply
4,190,866,536.32x = 5,783,401,555.68 × 2,285,632,617.92 - Step 4: Simplify right side
4,190,866,536.32x = 13,218,731,238,191,480,832 - Step 5: Solve for x
x = 13,218,731,238,191,480,832/4,190,866,536.32 - Step 6: Final answer
x = 3,154,176,140.81
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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.