Finding the Fourth Proportional to 274,489,724,823.80, 411,734,587,235.70 and 274,489,724,823.80
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Solution
The fourth proportional to 274,489,724,823.80, 411,734,587,235.70 and 274,489,724,823.80 is: 411,734,587,235.70
Step by Step Solution
- Step 1: Write the proportion equation
274,489,724,823.80 : 411,734,587,235.70 = 274,489,724,823.80 : x - Step 2: Convert to fraction form
274,489,724,823.80/411,734,587,235.70 = 274,489,724,823.80/x - Step 3: Cross multiply
274,489,724,823.80x = 411,734,587,235.70 × 274,489,724,823.80 - Step 4: Simplify right side
274,489,724,823.80x = 113,016,913,550,768,171,122,688 - Step 5: Solve for x
x = 113,016,913,550,768,171,122,688/274,489,724,823.80 - Step 6: Final answer
x = 411,734,587,235.70
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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.