Finding the Fourth Proportional to 742,203,454.24, 1,024,212,706.56 and 412,199,850.88
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Solution
The fourth proportional to 742,203,454.24, 1,024,212,706.56 and 412,199,850.88 is: 568,820,210.28
Step by Step Solution
- Step 1: Write the proportion equation
742,203,454.24 : 1,024,212,706.56 = 412,199,850.88 : x - Step 2: Convert to fraction form
742,203,454.24/1,024,212,706.56 = 412,199,850.88/x - Step 3: Cross multiply
742,203,454.24x = 1,024,212,706.56 × 412,199,850.88 - Step 4: Simplify right side
742,203,454.24x = 422,180,324,913,433,152 - Step 5: Solve for x
x = 422,180,324,913,433,152/742,203,454.24 - Step 6: Final answer
x = 568,820,210.28
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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.