Finding the Fourth Proportional to 264,224,771,501.70, 396,337,157,252.55 and 264,224,771,501.70
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Solution
The fourth proportional to 264,224,771,501.70, 396,337,157,252.55 and 264,224,771,501.70 is: 396,337,157,252.55
Step by Step Solution
- Step 1: Write the proportion equation
264,224,771,501.70 : 396,337,157,252.55 = 264,224,771,501.70 : x - Step 2: Convert to fraction form
264,224,771,501.70/396,337,157,252.55 = 264,224,771,501.70/x - Step 3: Cross multiply
264,224,771,501.70x = 396,337,157,252.55 × 264,224,771,501.70 - Step 4: Simplify right side
264,224,771,501.70x = 104,722,094,812,688,361,193,472 - Step 5: Solve for x
x = 104,722,094,812,688,361,193,472/264,224,771,501.70 - Step 6: Final answer
x = 396,337,157,252.55
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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.