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Finding the Fourth Proportional to 226,864,564,951.60, 340,296,847,427.40 and 226,864,564,951.60

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Solution

The fourth proportional to 226,864,564,951.60, 340,296,847,427.40 and 226,864,564,951.60 is: 340,296,847,427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,864,564,951.60 : 340,296,847,427.40 = 226,864,564,951.60 : x
  2. Step 2: Convert to fraction form
    226,864,564,951.60/340,296,847,427.40 = 226,864,564,951.60/x
  3. Step 3: Cross multiply
    226,864,564,951.60x = 340,296,847,427.40 × 226,864,564,951.60
  4. Step 4: Simplify right side
    226,864,564,951.60x = 77,201,296,246,018,106,458,112
  5. Step 5: Solve for x
    x = 77,201,296,246,018,106,458,112/226,864,564,951.60
  6. Step 6: Final answer
    x = 340,296,847,427.40

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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.