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Finding the Fourth Proportional to 474,919,964,219.20, 712,379,946,328.80 and 474,919,964,219.20

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Solution

The fourth proportional to 474,919,964,219.20, 712,379,946,328.80 and 474,919,964,219.20 is: 712,379,946,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,919,964,219.20 : 712,379,946,328.80 = 474,919,964,219.20 : x
  2. Step 2: Convert to fraction form
    474,919,964,219.20/712,379,946,328.80 = 474,919,964,219.20/x
  3. Step 3: Cross multiply
    474,919,964,219.20x = 712,379,946,328.80 × 474,919,964,219.20
  4. Step 4: Simplify right side
    474,919,964,219.20x = 338,323,458,620,949,367,095,296
  5. Step 5: Solve for x
    x = 338,323,458,620,949,367,095,296/474,919,964,219.20
  6. Step 6: Final answer
    x = 712,379,946,328.80

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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.