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Finding the Fourth Proportional to 413,771,652,076.80, 620,657,478,115.20 and 413,771,652,076.80

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Solution

The fourth proportional to 413,771,652,076.80, 620,657,478,115.20 and 413,771,652,076.80 is: 620,657,478,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,771,652,076.80 : 620,657,478,115.20 = 413,771,652,076.80 : x
  2. Step 2: Convert to fraction form
    413,771,652,076.80/620,657,478,115.20 = 413,771,652,076.80/x
  3. Step 3: Cross multiply
    413,771,652,076.80x = 620,657,478,115.20 × 413,771,652,076.80
  4. Step 4: Simplify right side
    413,771,652,076.80x = 256,810,470,093,546,621,763,584
  5. Step 5: Solve for x
    x = 256,810,470,093,546,621,763,584/413,771,652,076.80
  6. Step 6: Final answer
    x = 620,657,478,115.20

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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.