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Finding the Fourth Proportional to 164,047,404.70, 246,071,107.05 and 164,047,404.70

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Solution

The fourth proportional to 164,047,404.70, 246,071,107.05 and 164,047,404.70 is: 246,071,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,047,404.70 : 246,071,107.05 = 164,047,404.70 : x
  2. Step 2: Convert to fraction form
    164,047,404.70/246,071,107.05 = 164,047,404.70/x
  3. Step 3: Cross multiply
    164,047,404.70x = 246,071,107.05 × 164,047,404.70
  4. Step 4: Simplify right side
    164,047,404.70x = 40,367,326,483,208,376
  5. Step 5: Solve for x
    x = 40,367,326,483,208,376/164,047,404.70
  6. Step 6: Final answer
    x = 246,071,107.05

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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.