Finding the Fourth Proportional to 254,305,954,900.25, 381,533,368,819.62 and 82,002,990,904.99
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Solution
The fourth proportional to 254,305,954,900.25, 381,533,368,819.62 and 82,002,990,904.99 is: 123,028,488,992.87
Step by Step Solution
- Step 1: Write the proportion equation
254,305,954,900.25 : 381,533,368,819.62 = 82,002,990,904.99 : x - Step 2: Convert to fraction form
254,305,954,900.25/381,533,368,819.62 = 82,002,990,904.99/x - Step 3: Cross multiply
254,305,954,900.25x = 381,533,368,819.62 × 82,002,990,904.99 - Step 4: Simplify right side
254,305,954,900.25x = 31,286,877,373,265,497,554,944 - Step 5: Solve for x
x = 31,286,877,373,265,497,554,944/254,305,954,900.25 - Step 6: Final answer
x = 123,028,488,992.87
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.