Finding the Fourth Proportional to 274,489,724,743.80, 411,734,587,115.70 and 274,489,724,743.80
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Solution
The fourth proportional to 274,489,724,743.80, 411,734,587,115.70 and 274,489,724,743.80 is: 411,734,587,115.70
Step by Step Solution
- Step 1: Write the proportion equation
274,489,724,743.80 : 411,734,587,115.70 = 274,489,724,743.80 : x - Step 2: Convert to fraction form
274,489,724,743.80/411,734,587,115.70 = 274,489,724,743.80/x - Step 3: Cross multiply
274,489,724,743.80x = 411,734,587,115.70 × 274,489,724,743.80 - Step 4: Simplify right side
274,489,724,743.80x = 113,016,913,484,890,637,336,576 - Step 5: Solve for x
x = 113,016,913,484,890,637,336,576/274,489,724,743.80 - Step 6: Final answer
x = 411,734,587,115.70
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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.