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Finding the Fourth Proportional to 580,348,532.40, 869,389,057.80 and 349,632,279.60

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Solution

The fourth proportional to 580,348,532.40, 869,389,057.80 and 349,632,279.60 is: 523,765,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,348,532.40 : 869,389,057.80 = 349,632,279.60 : x
  2. Step 2: Convert to fraction form
    580,348,532.40/869,389,057.80 = 349,632,279.60/x
  3. Step 3: Cross multiply
    580,348,532.40x = 869,389,057.80 × 349,632,279.60
  4. Step 4: Simplify right side
    580,348,532.40x = 303,966,478,137,910,144
  5. Step 5: Solve for x
    x = 303,966,478,137,910,144/580,348,532.40
  6. Step 6: Final answer
    x = 523,765,394.70

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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.