Finding the Fourth Proportional to 4,661,354,077.34, 6,432,593,555.67 and 2,546,764,617.02
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Solution
The fourth proportional to 4,661,354,077.34, 6,432,593,555.67 and 2,546,764,617.02 is: 3,514,494,155.87
Step by Step Solution
- Step 1: Write the proportion equation
4,661,354,077.34 : 6,432,593,555.67 = 2,546,764,617.02 : x - Step 2: Convert to fraction form
4,661,354,077.34/6,432,593,555.67 = 2,546,764,617.02/x - Step 3: Cross multiply
4,661,354,077.34x = 6,432,593,555.67 × 2,546,764,617.02 - Step 4: Simplify right side
4,661,354,077.34x = 16,382,301,663,251,228,672 - Step 5: Solve for x
x = 16,382,301,663,251,228,672/4,661,354,077.34 - Step 6: Final answer
x = 3,514,494,155.87
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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.