Finding the Fourth Proportional to 24,517,055,590,100, 36,775,618,779,392 and 10,012,060,520,516
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Solution
The fourth proportional to 24,517,055,590,100, 36,775,618,779,392 and 10,012,060,520,516 is: 15,018,105,234,764.68
Step by Step Solution
- Step 1: Write the proportion equation
24,517,055,590,100 : 36,775,618,779,392 = 10,012,060,520,516 : x - Step 2: Convert to fraction form
24,517,055,590,100/36,775,618,779,392 = 10,012,060,520,516/x - Step 3: Cross multiply
24,517,055,590,100x = 36,775,618,779,392 × 10,012,060,520,516 - Step 4: Simplify right side
24,517,055,590,100x = 368,199,720,898,697,449,942,548,480 - Step 5: Solve for x
x = 368,199,720,898,697,449,942,548,480/24,517,055,590,100 - Step 6: Final answer
x = 15,018,105,234,764.68
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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.