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Finding the Fourth Proportional to 138,664,097,443.80, 207,996,146,165.70 and 138,664,097,443.80

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Solution

The fourth proportional to 138,664,097,443.80, 207,996,146,165.70 and 138,664,097,443.80 is: 207,996,146,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,664,097,443.80 : 207,996,146,165.70 = 138,664,097,443.80 : x
  2. Step 2: Convert to fraction form
    138,664,097,443.80/207,996,146,165.70 = 138,664,097,443.80/x
  3. Step 3: Cross multiply
    138,664,097,443.80x = 207,996,146,165.70 × 138,664,097,443.80
  4. Step 4: Simplify right side
    138,664,097,443.80x = 28,841,597,879,855,492,366,336
  5. Step 5: Solve for x
    x = 28,841,597,879,855,492,366,336/138,664,097,443.80
  6. Step 6: Final answer
    x = 207,996,146,165.70

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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.