Finding the Fourth Proportional to 1,616,486,023.80, 2,424,729,035.70 and 1,461,517,828.20
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Solution
The fourth proportional to 1,616,486,023.80, 2,424,729,035.70 and 1,461,517,828.20 is: 2,192,276,742.30
Step by Step Solution
- Step 1: Write the proportion equation
1,616,486,023.80 : 2,424,729,035.70 = 1,461,517,828.20 : x - Step 2: Convert to fraction form
1,616,486,023.80/2,424,729,035.70 = 1,461,517,828.20/x - Step 3: Cross multiply
1,616,486,023.80x = 2,424,729,035.70 × 1,461,517,828.20 - Step 4: Simplify right side
1,616,486,023.80x = 3,543,784,714,229,744,128 - Step 5: Solve for x
x = 3,543,784,714,229,744,128/1,616,486,023.80 - Step 6: Final answer
x = 2,192,276,742.30
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.