Finding the Fourth Proportional to 460,455,143,348.17, 635,385,455,122.70 and 254,684,953,968.08
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Solution
The fourth proportional to 460,455,143,348.17, 635,385,455,122.70 and 254,684,953,968.08 is: 351,441,650,131.71
Step by Step Solution
- Step 1: Write the proportion equation
460,455,143,348.17 : 635,385,455,122.70 = 254,684,953,968.08 : x - Step 2: Convert to fraction form
460,455,143,348.17/635,385,455,122.70 = 254,684,953,968.08/x - Step 3: Cross multiply
460,455,143,348.17x = 635,385,455,122.70 × 254,684,953,968.08 - Step 4: Simplify right side
460,455,143,348.17x = 161,823,115,389,912,393,711,616 - Step 5: Solve for x
x = 161,823,115,389,912,393,711,616/460,455,143,348.17 - Step 6: Final answer
x = 351,441,650,131.71
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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.