Finding the Fourth Proportional to 8,196,310,196.28, 11,310,911,860.84 and 4,437,120,768.08
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Solution
The fourth proportional to 8,196,310,196.28, 11,310,911,860.84 and 4,437,120,768.08 is: 6,123,228,711.67
Step by Step Solution
- Step 1: Write the proportion equation
8,196,310,196.28 : 11,310,911,860.84 = 4,437,120,768.08 : x - Step 2: Convert to fraction form
8,196,310,196.28/11,310,911,860.84 = 4,437,120,768.08/x - Step 3: Cross multiply
8,196,310,196.28x = 11,310,911,860.84 × 4,437,120,768.08 - Step 4: Simplify right side
8,196,310,196.28x = 50,187,881,923,655,565,312 - Step 5: Solve for x
x = 50,187,881,923,655,565,312/8,196,310,196.28 - Step 6: Final answer
x = 6,123,228,711.67
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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.