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Finding the Fourth Proportional to 25,863,462,495.60, 38,795,193,743.40 and 25,863,462,495.60

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Solution

The fourth proportional to 25,863,462,495.60, 38,795,193,743.40 and 25,863,462,495.60 is: 38,795,193,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,863,462,495.60 : 38,795,193,743.40 = 25,863,462,495.60 : x
  2. Step 2: Convert to fraction form
    25,863,462,495.60/38,795,193,743.40 = 25,863,462,495.60/x
  3. Step 3: Cross multiply
    25,863,462,495.60x = 38,795,193,743.40 × 25,863,462,495.60
  4. Step 4: Simplify right side
    25,863,462,495.60x = 1,003,378,038,391,961,681,920
  5. Step 5: Solve for x
    x = 1,003,378,038,391,961,681,920/25,863,462,495.60
  6. Step 6: Final answer
    x = 38,795,193,743.40

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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.