Finding the Fourth Proportional to 311,013,577,827.58, 466,520,367,860.68 and 87,423,528,113.49
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Solution
The fourth proportional to 311,013,577,827.58, 466,520,367,860.68 and 87,423,528,113.49 is: 131,135,292,484.86
Step by Step Solution
- Step 1: Write the proportion equation
311,013,577,827.58 : 466,520,367,860.68 = 87,423,528,113.49 : x - Step 2: Convert to fraction form
311,013,577,827.58/466,520,367,860.68 = 87,423,528,113.49/x - Step 3: Cross multiply
311,013,577,827.58x = 466,520,367,860.68 × 87,423,528,113.49 - Step 4: Simplify right side
311,013,577,827.58x = 40,784,856,495,183,859,023,872 - Step 5: Solve for x
x = 40,784,856,495,183,859,023,872/311,013,577,827.58 - Step 6: Final answer
x = 131,135,292,484.86
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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.