Finding the Fourth Proportional to 8,278,962,346,658.40, 12,407,343,013,275 and 6,443,317,616,315.20
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Solution
The fourth proportional to 8,278,962,346,658.40, 12,407,343,013,275 and 6,443,317,616,315.20 is: 9,656,337,166,621.82
Step by Step Solution
- Step 1: Write the proportion equation
8,278,962,346,658.40 : 12,407,343,013,275 = 6,443,317,616,315.20 : x - Step 2: Convert to fraction form
8,278,962,346,658.40/12,407,343,013,275 = 6,443,317,616,315.20/x - Step 3: Cross multiply
8,278,962,346,658.40x = 12,407,343,013,275 × 6,443,317,616,315.20 - Step 4: Simplify right side
8,278,962,346,658.40x = 79,944,451,809,100,123,313,537,024 - Step 5: Solve for x
x = 79,944,451,809,100,123,313,537,024/8,278,962,346,658.40 - Step 6: Final answer
x = 9,656,337,166,621.82
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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.