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Finding the Fourth Proportional to 164,392,428,605.40, 246,588,642,908.10 and 164,392,428,605.40

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Solution

The fourth proportional to 164,392,428,605.40, 246,588,642,908.10 and 164,392,428,605.40 is: 246,588,642,908.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,392,428,605.40 : 246,588,642,908.10 = 164,392,428,605.40 : x
  2. Step 2: Convert to fraction form
    164,392,428,605.40/246,588,642,908.10 = 164,392,428,605.40/x
  3. Step 3: Cross multiply
    164,392,428,605.40x = 246,588,642,908.10 × 164,392,428,605.40
  4. Step 4: Simplify right side
    164,392,428,605.40x = 40,537,305,874,172,305,473,536
  5. Step 5: Solve for x
    x = 40,537,305,874,172,305,473,536/164,392,428,605.40
  6. Step 6: Final answer
    x = 246,588,642,908.10

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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.