Finding the Fourth Proportional to 207,076,226,872.95, 310,339,752,486.71 and 106,343,025,068.79
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Solution
The fourth proportional to 207,076,226,872.95, 310,339,752,486.71 and 106,343,025,068.79 is: 159,373,524,314.72
Step by Step Solution
- Step 1: Write the proportion equation
207,076,226,872.95 : 310,339,752,486.71 = 106,343,025,068.79 : x - Step 2: Convert to fraction form
207,076,226,872.95/310,339,752,486.71 = 106,343,025,068.79/x - Step 3: Cross multiply
207,076,226,872.95x = 310,339,752,486.71 × 106,343,025,068.79 - Step 4: Simplify right side
207,076,226,872.95x = 33,002,468,078,536,286,535,680 - Step 5: Solve for x
x = 33,002,468,078,536,286,535,680/207,076,226,872.95 - Step 6: Final answer
x = 159,373,524,314.72
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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.