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Finding the Fourth Proportional to 562,464,273.20, 785,635,997.20 and 562,464,273.20

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Solution

The fourth proportional to 562,464,273.20, 785,635,997.20 and 562,464,273.20 is: 785,635,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,464,273.20 : 785,635,997.20 = 562,464,273.20 : x
  2. Step 2: Convert to fraction form
    562,464,273.20/785,635,997.20 = 562,464,273.20/x
  3. Step 3: Cross multiply
    562,464,273.20x = 785,635,997.20 × 562,464,273.20
  4. Step 4: Simplify right side
    562,464,273.20x = 441,892,180,164,855,296
  5. Step 5: Solve for x
    x = 441,892,180,164,855,296/562,464,273.20
  6. Step 6: Final answer
    x = 785,635,997.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.