Finding the Fourth Proportional to 275,847,768,099.70, 413,771,652,149.55 and 275,847,768,099.70
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Solution
The fourth proportional to 275,847,768,099.70, 413,771,652,149.55 and 275,847,768,099.70 is: 413,771,652,149.55
Step by Step Solution
- Step 1: Write the proportion equation
275,847,768,099.70 : 413,771,652,149.55 = 275,847,768,099.70 : x - Step 2: Convert to fraction form
275,847,768,099.70/413,771,652,149.55 = 275,847,768,099.70/x - Step 3: Cross multiply
275,847,768,099.70x = 413,771,652,149.55 × 275,847,768,099.70 - Step 4: Simplify right side
275,847,768,099.70x = 114,137,986,748,378,802,814,976 - Step 5: Solve for x
x = 114,137,986,748,378,802,814,976/275,847,768,099.70 - Step 6: Final answer
x = 413,771,652,149.55
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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.