Finding the Fourth Proportional to 16,297,524,458.90, 24,446,286,688.35 and 11,338,542,199.70
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Solution
The fourth proportional to 16,297,524,458.90, 24,446,286,688.35 and 11,338,542,199.70 is: 17,007,813,299.55
Step by Step Solution
- Step 1: Write the proportion equation
16,297,524,458.90 : 24,446,286,688.35 = 11,338,542,199.70 : x - Step 2: Convert to fraction form
16,297,524,458.90/24,446,286,688.35 = 11,338,542,199.70/x - Step 3: Cross multiply
16,297,524,458.90x = 24,446,286,688.35 × 11,338,542,199.70 - Step 4: Simplify right side
16,297,524,458.90x = 277,185,253,241,820,839,936 - Step 5: Solve for x
x = 277,185,253,241,820,839,936/16,297,524,458.90 - Step 6: Final answer
x = 17,007,813,299.55
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Double scale
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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.