Finding the Fourth Proportional to 277,498,148,937.99, 416,166,472,181.74 and 107,479,817,494.92
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Solution
The fourth proportional to 277,498,148,937.99, 416,166,472,181.74 and 107,479,817,494.92 is: 161,188,449,900.59
Step by Step Solution
- Step 1: Write the proportion equation
277,498,148,937.99 : 416,166,472,181.74 = 107,479,817,494.92 : x - Step 2: Convert to fraction form
277,498,148,937.99/416,166,472,181.74 = 107,479,817,494.92/x - Step 3: Cross multiply
277,498,148,937.99x = 416,166,472,181.74 × 107,479,817,494.92 - Step 4: Simplify right side
277,498,148,937.99x = 44,729,496,477,598,117,527,552 - Step 5: Solve for x
x = 44,729,496,477,598,117,527,552/277,498,148,937.99 - Step 6: Final answer
x = 161,188,449,900.59
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1.5x scale
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.