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Finding the Fourth Proportional to 396,336,894,417.93, 594,505,341,626.90 and 396,336,894,417.93

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Solution

The fourth proportional to 396,336,894,417.93, 594,505,341,626.90 and 396,336,894,417.93 is: 594,505,341,626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,336,894,417.93 : 594,505,341,626.90 = 396,336,894,417.93 : x
  2. Step 2: Convert to fraction form
    396,336,894,417.93/594,505,341,626.90 = 396,336,894,417.93/x
  3. Step 3: Cross multiply
    396,336,894,417.93x = 594,505,341,626.90 × 396,336,894,417.93
  4. Step 4: Simplify right side
    396,336,894,417.93x = 235,624,400,815,276,081,283,072
  5. Step 5: Solve for x
    x = 235,624,400,815,276,081,283,072/396,336,894,417.93
  6. Step 6: Final answer
    x = 594,505,341,626.90

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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.