Finding the Fourth Proportional to 1,648,133,025.20, 2,472,199,537.80 and 557,616,093.20
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Solution
The fourth proportional to 1,648,133,025.20, 2,472,199,537.80 and 557,616,093.20 is: 836,424,139.80
Step by Step Solution
- Step 1: Write the proportion equation
1,648,133,025.20 : 2,472,199,537.80 = 557,616,093.20 : x - Step 2: Convert to fraction form
1,648,133,025.20/2,472,199,537.80 = 557,616,093.20/x - Step 3: Cross multiply
1,648,133,025.20x = 2,472,199,537.80 × 557,616,093.20 - Step 4: Simplify right side
1,648,133,025.20x = 1,378,538,247,878,882,048 - Step 5: Solve for x
x = 1,378,538,247,878,882,048/1,648,133,025.20 - Step 6: Final answer
x = 836,424,139.80
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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.