Finding the Fourth Proportional to 24,292,024,657.68, 36,439,635,821.52 and 6,364,842,156.48
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Solution
The fourth proportional to 24,292,024,657.68, 36,439,635,821.52 and 6,364,842,156.48 is: 9,547,682,151.32
Step by Step Solution
- Step 1: Write the proportion equation
24,292,024,657.68 : 36,439,635,821.52 = 6,364,842,156.48 : x - Step 2: Convert to fraction form
24,292,024,657.68/36,439,635,821.52 = 6,364,842,156.48/x - Step 3: Cross multiply
24,292,024,657.68x = 36,439,635,821.52 × 6,364,842,156.48 - Step 4: Simplify right side
24,292,024,657.68x = 231,932,530,243,589,177,344 - Step 5: Solve for x
x = 231,932,530,243,589,177,344/24,292,024,657.68 - Step 6: Final answer
x = 9,547,682,151.32
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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.