Finding the Fourth Proportional to 8,221,234,342.10, 11,343,358,880 and 4,652,941,246.82
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Solution
The fourth proportional to 8,221,234,342.10, 11,343,358,880 and 4,652,941,246.82 is: 6,419,958,392.37
Step by Step Solution
- Step 1: Write the proportion equation
8,221,234,342.10 : 11,343,358,880 = 4,652,941,246.82 : x - Step 2: Convert to fraction form
8,221,234,342.10/11,343,358,880 = 4,652,941,246.82/x - Step 3: Cross multiply
8,221,234,342.10x = 11,343,358,880 × 4,652,941,246.82 - Step 4: Simplify right side
8,221,234,342.10x = 52,779,982,410,233,913,344 - Step 5: Solve for x
x = 52,779,982,410,233,913,344/8,221,234,342.10 - Step 6: Final answer
x = 6,419,958,392.37
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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.