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Finding the Fourth Proportional to 9,309,046,977.60, 13,963,570,466.40 and 9,309,046,977.60

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Solution

The fourth proportional to 9,309,046,977.60, 13,963,570,466.40 and 9,309,046,977.60 is: 13,963,570,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309,046,977.60 : 13,963,570,466.40 = 9,309,046,977.60 : x
  2. Step 2: Convert to fraction form
    9,309,046,977.60/13,963,570,466.40 = 9,309,046,977.60/x
  3. Step 3: Cross multiply
    9,309,046,977.60x = 13,963,570,466.40 × 9,309,046,977.60
  4. Step 4: Simplify right side
    9,309,046,977.60x = 129,987,533,446,745,538,560
  5. Step 5: Solve for x
    x = 129,987,533,446,745,538,560/9,309,046,977.60
  6. Step 6: Final answer
    x = 13,963,570,466.40

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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.