Finding the Fourth Proportional to 263,411,364,137.46, 363,510,988,542.46 and 143,119,311,149.94
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Solution
The fourth proportional to 263,411,364,137.46, 363,510,988,542.46 and 143,119,311,149.94 is: 197,506,445,653.88
Step by Step Solution
- Step 1: Write the proportion equation
263,411,364,137.46 : 363,510,988,542.46 = 143,119,311,149.94 : x - Step 2: Convert to fraction form
263,411,364,137.46/363,510,988,542.46 = 143,119,311,149.94/x - Step 3: Cross multiply
263,411,364,137.46x = 363,510,988,542.46 × 143,119,311,149.94 - Step 4: Simplify right side
263,411,364,137.46x = 52,025,442,275,630,608,547,840 - Step 5: Solve for x
x = 52,025,442,275,630,608,547,840/263,411,364,137.46 - Step 6: Final answer
x = 197,506,445,653.88
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1.5x scale
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.