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Finding the Fourth Proportional to 55,647,977,964.90, 83,471,966,947.35 and 55,647,977,964.90

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Solution

The fourth proportional to 55,647,977,964.90, 83,471,966,947.35 and 55,647,977,964.90 is: 83,471,966,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,647,977,964.90 : 83,471,966,947.35 = 55,647,977,964.90 : x
  2. Step 2: Convert to fraction form
    55,647,977,964.90/83,471,966,947.35 = 55,647,977,964.90/x
  3. Step 3: Cross multiply
    55,647,977,964.90x = 83,471,966,947.35 × 55,647,977,964.90
  4. Step 4: Simplify right side
    55,647,977,964.90x = 4,645,046,177,372,994,273,280
  5. Step 5: Solve for x
    x = 4,645,046,177,372,994,273,280/55,647,977,964.90
  6. Step 6: Final answer
    x = 83,471,966,947.35

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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.