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Finding the Fourth Proportional to 580,348,498.40, 869,389,006.80 and 349,632,245.60

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Solution

The fourth proportional to 580,348,498.40, 869,389,006.80 and 349,632,245.60 is: 523,765,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,348,498.40 : 869,389,006.80 = 349,632,245.60 : x
  2. Step 2: Convert to fraction form
    580,348,498.40/869,389,006.80 = 349,632,245.60/x
  3. Step 3: Cross multiply
    580,348,498.40x = 869,389,006.80 × 349,632,245.60
  4. Step 4: Simplify right side
    580,348,498.40x = 303,966,430,747,437,696
  5. Step 5: Solve for x
    x = 303,966,430,747,437,696/580,348,498.40
  6. Step 6: Final answer
    x = 523,765,343.73

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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.