Finding the Fourth Proportional to 90,149,166,765.98, 135,228,099,184.07 and 29,642,104,715.84
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Solution
The fourth proportional to 90,149,166,765.98, 135,228,099,184.07 and 29,642,104,715.84 is: 44,464,587,087.57
Step by Step Solution
- Step 1: Write the proportion equation
90,149,166,765.98 : 135,228,099,184.07 = 29,642,104,715.84 : x - Step 2: Convert to fraction form
90,149,166,765.98/135,228,099,184.07 = 29,642,104,715.84/x - Step 3: Cross multiply
90,149,166,765.98x = 135,228,099,184.07 × 29,642,104,715.84 - Step 4: Simplify right side
90,149,166,765.98x = 4,008,445,476,537,524,813,824 - Step 5: Solve for x
x = 4,008,445,476,537,524,813,824/90,149,166,765.98 - Step 6: Final answer
x = 44,464,587,087.57
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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.