Finding the Fourth Proportional to 32,647,557,727.20, 48,971,336,590.80 and 16,117,616,863.20
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Solution
The fourth proportional to 32,647,557,727.20, 48,971,336,590.80 and 16,117,616,863.20 is: 24,176,425,294.80
Step by Step Solution
- Step 1: Write the proportion equation
32,647,557,727.20 : 48,971,336,590.80 = 16,117,616,863.20 : x - Step 2: Convert to fraction form
32,647,557,727.20/48,971,336,590.80 = 16,117,616,863.20/x - Step 3: Cross multiply
32,647,557,727.20x = 48,971,336,590.80 × 16,117,616,863.20 - Step 4: Simplify right side
32,647,557,727.20x = 789,301,240,449,321,402,368 - Step 5: Solve for x
x = 789,301,240,449,321,402,368/32,647,557,727.20 - Step 6: Final answer
x = 24,176,425,294.80
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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.