Finding the Fourth Proportional to 489,168,466,643.20, 733,752,699,964.80 and 332,440,138,451.20
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Solution
The fourth proportional to 489,168,466,643.20, 733,752,699,964.80 and 332,440,138,451.20 is: 498,660,207,676.80
Step by Step Solution
- Step 1: Write the proportion equation
489,168,466,643.20 : 733,752,699,964.80 = 332,440,138,451.20 : x - Step 2: Convert to fraction form
489,168,466,643.20/733,752,699,964.80 = 332,440,138,451.20/x - Step 3: Cross multiply
489,168,466,643.20x = 733,752,699,964.80 × 332,440,138,451.20 - Step 4: Simplify right side
489,168,466,643.20x = 243,928,849,165,239,963,353,088 - Step 5: Solve for x
x = 243,928,849,165,239,963,353,088/489,168,466,643.20 - Step 6: Final answer
x = 498,660,207,676.80
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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.