Finding the Fourth Proportional to 255,301,656,201.70, 382,952,484,302.55 and 150,816,104,073.70
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Solution
The fourth proportional to 255,301,656,201.70, 382,952,484,302.55 and 150,816,104,073.70 is: 226,224,156,110.55
Step by Step Solution
- Step 1: Write the proportion equation
255,301,656,201.70 : 382,952,484,302.55 = 150,816,104,073.70 : x - Step 2: Convert to fraction form
255,301,656,201.70/382,952,484,302.55 = 150,816,104,073.70/x - Step 3: Cross multiply
255,301,656,201.70x = 382,952,484,302.55 × 150,816,104,073.70 - Step 4: Simplify right side
255,301,656,201.70x = 57,755,401,727,855,348,940,800 - Step 5: Solve for x
x = 57,755,401,727,855,348,940,800/255,301,656,201.70 - Step 6: Final answer
x = 226,224,156,110.55
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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.