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Finding the Fourth Proportional to 298,956,901.10, 448,435,351.65 and 298,956,901.10

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Solution

The fourth proportional to 298,956,901.10, 448,435,351.65 and 298,956,901.10 is: 448,435,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,956,901.10 : 448,435,351.65 = 298,956,901.10 : x
  2. Step 2: Convert to fraction form
    298,956,901.10/448,435,351.65 = 298,956,901.10/x
  3. Step 3: Cross multiply
    298,956,901.10x = 448,435,351.65 × 298,956,901.10
  4. Step 4: Simplify right side
    298,956,901.10x = 134,062,843,072,972,768
  5. Step 5: Solve for x
    x = 134,062,843,072,972,768/298,956,901.10
  6. Step 6: Final answer
    x = 448,435,351.65

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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.