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Finding the Fourth Proportional to 41,216,256,493.60, 61,824,384,740.40 and 41,216,256,493.60

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Solution

The fourth proportional to 41,216,256,493.60, 61,824,384,740.40 and 41,216,256,493.60 is: 61,824,384,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,216,256,493.60 : 61,824,384,740.40 = 41,216,256,493.60 : x
  2. Step 2: Convert to fraction form
    41,216,256,493.60/61,824,384,740.40 = 41,216,256,493.60/x
  3. Step 3: Cross multiply
    41,216,256,493.60x = 61,824,384,740.40 × 41,216,256,493.60
  4. Step 4: Simplify right side
    41,216,256,493.60x = 2,548,169,699,019,336,450,048
  5. Step 5: Solve for x
    x = 2,548,169,699,019,336,450,048/41,216,256,493.60
  6. Step 6: Final answer
    x = 61,824,384,740.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.