Finding the Fourth Proportional to 1,461,470,844.40, 2,192,206,266.60 and 686,629,866.40
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Solution
The fourth proportional to 1,461,470,844.40, 2,192,206,266.60 and 686,629,866.40 is: 1,029,944,799.60
Step by Step Solution
- Step 1: Write the proportion equation
1,461,470,844.40 : 2,192,206,266.60 = 686,629,866.40 : x - Step 2: Convert to fraction form
1,461,470,844.40/2,192,206,266.60 = 686,629,866.40/x - Step 3: Cross multiply
1,461,470,844.40x = 2,192,206,266.60 × 686,629,866.40 - Step 4: Simplify right side
1,461,470,844.40x = 1,505,234,295,956,800,768 - Step 5: Solve for x
x = 1,505,234,295,956,800,768/1,461,470,844.40 - Step 6: Final answer
x = 1,029,944,799.60
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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.