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Finding the Fourth Proportional to 448,052,198.40, 672,078,297.60 and 448,052,198.40

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Solution

The fourth proportional to 448,052,198.40, 672,078,297.60 and 448,052,198.40 is: 672,078,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,052,198.40 : 672,078,297.60 = 448,052,198.40 : x
  2. Step 2: Convert to fraction form
    448,052,198.40/672,078,297.60 = 448,052,198.40/x
  3. Step 3: Cross multiply
    448,052,198.40x = 672,078,297.60 × 448,052,198.40
  4. Step 4: Simplify right side
    448,052,198.40x = 301,126,158,736,609,408
  5. Step 5: Solve for x
    x = 301,126,158,736,609,408/448,052,198.40
  6. Step 6: Final answer
    x = 672,078,297.60

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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.