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Finding the Fourth Proportional to 68,164,536,044.30, 102,246,804,066.45 and 68,164,536,044.30

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Solution

The fourth proportional to 68,164,536,044.30, 102,246,804,066.45 and 68,164,536,044.30 is: 102,246,804,066.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,164,536,044.30 : 102,246,804,066.45 = 68,164,536,044.30 : x
  2. Step 2: Convert to fraction form
    68,164,536,044.30/102,246,804,066.45 = 68,164,536,044.30/x
  3. Step 3: Cross multiply
    68,164,536,044.30x = 102,246,804,066.45 × 68,164,536,044.30
  4. Step 4: Simplify right side
    68,164,536,044.30x = 6,969,605,961,202,011,209,728
  5. Step 5: Solve for x
    x = 6,969,605,961,202,011,209,728/68,164,536,044.30
  6. Step 6: Final answer
    x = 102,246,804,066.45

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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.