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Finding the Fourth Proportional to 422,698,512.30, 634,047,768.45 and 422,698,512.30

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Solution

The fourth proportional to 422,698,512.30, 634,047,768.45 and 422,698,512.30 is: 634,047,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,698,512.30 : 634,047,768.45 = 422,698,512.30 : x
  2. Step 2: Convert to fraction form
    422,698,512.30/634,047,768.45 = 422,698,512.30/x
  3. Step 3: Cross multiply
    422,698,512.30x = 634,047,768.45 × 422,698,512.30
  4. Step 4: Simplify right side
    422,698,512.30x = 268,011,048,450,949,920
  5. Step 5: Solve for x
    x = 268,011,048,450,949,920/422,698,512.30
  6. Step 6: Final answer
    x = 634,047,768.45

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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.