Finding the Fourth Proportional to 263,125,199,426.50, 394,641,143,982.70 and 119,670,626,209.79
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Solution
The fourth proportional to 263,125,199,426.50, 394,641,143,982.70 and 119,670,626,209.79 is: 179,484,720,321.32
Step by Step Solution
- Step 1: Write the proportion equation
263,125,199,426.50 : 394,641,143,982.70 = 119,670,626,209.79 : x - Step 2: Convert to fraction form
263,125,199,426.50/394,641,143,982.70 = 119,670,626,209.79/x - Step 3: Cross multiply
263,125,199,426.50x = 394,641,143,982.70 × 119,670,626,209.79 - Step 4: Simplify right side
263,125,199,426.50x = 47,226,952,828,557,604,159,488 - Step 5: Solve for x
x = 47,226,952,828,557,604,159,488/263,125,199,426.50 - Step 6: Final answer
x = 179,484,720,321.32
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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.