Finding the Fourth Proportional to 330,470,039,359.14, 495,931,490,142.99 and 115,338,581,670.65
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Solution
The fourth proportional to 330,470,039,359.14, 495,931,490,142.99 and 115,338,581,670.65 is: 173,086,900,070.67
Step by Step Solution
- Step 1: Write the proportion equation
330,470,039,359.14 : 495,931,490,142.99 = 115,338,581,670.65 : x - Step 2: Convert to fraction form
330,470,039,359.14/495,931,490,142.99 = 115,338,581,670.65/x - Step 3: Cross multiply
330,470,039,359.14x = 495,931,490,142.99 × 115,338,581,670.65 - Step 4: Simplify right side
330,470,039,359.14x = 57,200,034,678,904,404,836,352 - Step 5: Solve for x
x = 57,200,034,678,904,404,836,352/330,470,039,359.14 - Step 6: Final answer
x = 173,086,900,070.67
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1.5x scale
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.