Finding the Fourth Proportional to 506,247,269,479.74, 698,621,923,703.70 and 274,760,792,310.08
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Solution
The fourth proportional to 506,247,269,479.74, 698,621,923,703.70 and 274,760,792,310.08 is: 379,170,268,867.40
Step by Step Solution
- Step 1: Write the proportion equation
506,247,269,479.74 : 698,621,923,703.70 = 274,760,792,310.08 : x - Step 2: Convert to fraction form
506,247,269,479.74/698,621,923,703.70 = 274,760,792,310.08/x - Step 3: Cross multiply
506,247,269,479.74x = 698,621,923,703.70 × 274,760,792,310.08 - Step 4: Simplify right side
506,247,269,479.74x = 191,953,913,282,020,864,163,840 - Step 5: Solve for x
x = 191,953,913,282,020,864,163,840/506,247,269,479.74 - Step 6: Final answer
x = 379,170,268,867.40
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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.