Finding the Fourth Proportional to 216,683,488,311.11, 299,023,912,588.25 and 120,339,574,773.99
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Solution
The fourth proportional to 216,683,488,311.11, 299,023,912,588.25 and 120,339,574,773.99 is: 166,069,001,235.84
Step by Step Solution
- Step 1: Write the proportion equation
216,683,488,311.11 : 299,023,912,588.25 = 120,339,574,773.99 : x - Step 2: Convert to fraction form
216,683,488,311.11/299,023,912,588.25 = 120,339,574,773.99/x - Step 3: Cross multiply
216,683,488,311.11x = 299,023,912,588.25 × 120,339,574,773.99 - Step 4: Simplify right side
216,683,488,311.11x = 35,984,410,488,124,762,750,976 - Step 5: Solve for x
x = 35,984,410,488,124,762,750,976/216,683,488,311.11 - Step 6: Final answer
x = 166,069,001,235.84
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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.