Finding the Fourth Proportional to 513,269,605.64, 769,596,947.82 and 163,364,533.16
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Solution
The fourth proportional to 513,269,605.64, 769,596,947.82 and 163,364,533.16 is: 244,948,940.52
Step by Step Solution
- Step 1: Write the proportion equation
513,269,605.64 : 769,596,947.82 = 163,364,533.16 : x - Step 2: Convert to fraction form
513,269,605.64/769,596,947.82 = 163,364,533.16/x - Step 3: Cross multiply
513,269,605.64x = 769,596,947.82 × 163,364,533.16 - Step 4: Simplify right side
513,269,605.64x = 125,724,846,101,975,184 - Step 5: Solve for x
x = 125,724,846,101,975,184/513,269,605.64 - Step 6: Final answer
x = 244,948,940.52
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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.