Finding the Fourth Proportional to 2,976,412,284.90, 4,107,416,357.79 and 1,638,273,765.06
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Solution
The fourth proportional to 2,976,412,284.90, 4,107,416,357.79 and 1,638,273,765.06 is: 2,260,799,854.67
Step by Step Solution
- Step 1: Write the proportion equation
2,976,412,284.90 : 4,107,416,357.79 = 1,638,273,765.06 : x - Step 2: Convert to fraction form
2,976,412,284.90/4,107,416,357.79 = 1,638,273,765.06/x - Step 3: Cross multiply
2,976,412,284.90x = 4,107,416,357.79 × 1,638,273,765.06 - Step 4: Simplify right side
2,976,412,284.90x = 6,729,072,461,145,655,296 - Step 5: Solve for x
x = 6,729,072,461,145,655,296/2,976,412,284.90 - Step 6: Final answer
x = 2,260,799,854.67
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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.