Finding the Fourth Proportional to 5,193,766,698.24, 7,163,218,823.04 and 4,565,892,645.12
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Solution
The fourth proportional to 5,193,766,698.24, 7,163,218,823.04 and 4,565,892,645.12 is: 6,297,257,855.38
Step by Step Solution
- Step 1: Write the proportion equation
5,193,766,698.24 : 7,163,218,823.04 = 4,565,892,645.12 : x - Step 2: Convert to fraction form
5,193,766,698.24/7,163,218,823.04 = 4,565,892,645.12/x - Step 3: Cross multiply
5,193,766,698.24x = 7,163,218,823.04 × 4,565,892,645.12 - Step 4: Simplify right side
5,193,766,698.24x = 32,706,488,139,503,476,736 - Step 5: Solve for x
x = 32,706,488,139,503,476,736/5,193,766,698.24 - Step 6: Final answer
x = 6,297,257,855.38
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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.