Finding the Fourth Proportional to 8,221,234,340.48, 11,343,358,877.76 and 4,652,941,245.20
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Solution
The fourth proportional to 8,221,234,340.48, 11,343,358,877.76 and 4,652,941,245.20 is: 6,419,958,390.14
Step by Step Solution
- Step 1: Write the proportion equation
8,221,234,340.48 : 11,343,358,877.76 = 4,652,941,245.20 : x - Step 2: Convert to fraction form
8,221,234,340.48/11,343,358,877.76 = 4,652,941,245.20/x - Step 3: Cross multiply
8,221,234,340.48x = 11,343,358,877.76 × 4,652,941,245.20 - Step 4: Simplify right side
8,221,234,340.48x = 52,779,982,381,438,951,424 - Step 5: Solve for x
x = 52,779,982,381,438,951,424/8,221,234,340.48 - Step 6: Final answer
x = 6,419,958,390.14
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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.