Finding the Fourth Proportional to 405,680,527,493.58, 608,638,566,350.04 and 163,532,672,166.18
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Solution
The fourth proportional to 405,680,527,493.58, 608,638,566,350.04 and 163,532,672,166.18 is: 245,346,484,223.82
Step by Step Solution
- Step 1: Write the proportion equation
405,680,527,493.58 : 608,638,566,350.04 = 163,532,672,166.18 : x - Step 2: Convert to fraction form
405,680,527,493.58/608,638,566,350.04 = 163,532,672,166.18/x - Step 3: Cross multiply
405,680,527,493.58x = 608,638,566,350.04 × 163,532,672,166.18 - Step 4: Simplify right side
405,680,527,493.58x = 99,532,291,138,614,879,846,400 - Step 5: Solve for x
x = 99,532,291,138,614,879,846,400/405,680,527,493.58 - Step 6: Final answer
x = 245,346,484,223.82
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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.