Finding the Fourth Proportional to 45,861,533,527,419, 63,288,913,847,436 and 24,767,325,940,311
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Solution
The fourth proportional to 45,861,533,527,419, 63,288,913,847,436 and 24,767,325,940,311 is: 34,178,908,490,501.27
Step by Step Solution
- Step 1: Write the proportion equation
45,861,533,527,419 : 63,288,913,847,436 = 24,767,325,940,311 : x - Step 2: Convert to fraction form
45,861,533,527,419/63,288,913,847,436 = 24,767,325,940,311/x - Step 3: Cross multiply
45,861,533,527,419x = 63,288,913,847,436 × 24,767,325,940,311 - Step 4: Simplify right side
45,861,533,527,419x = 1,567,497,157,667,709,637,361,664,000 - Step 5: Solve for x
x = 1,567,497,157,667,709,637,361,664,000/45,861,533,527,419 - Step 6: Final answer
x = 34,178,908,490,501.27
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.