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Finding the Fourth Proportional to 13,551,142,070,257, 20,326,713,105,386 and 13,551,142,070,257

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Solution

The fourth proportional to 13,551,142,070,257, 20,326,713,105,386 and 13,551,142,070,257 is: 20,326,713,105,386

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,551,142,070,257 : 20,326,713,105,386 = 13,551,142,070,257 : x
  2. Step 2: Convert to fraction form
    13,551,142,070,257/20,326,713,105,386 = 13,551,142,070,257/x
  3. Step 3: Cross multiply
    13,551,142,070,257x = 20,326,713,105,386 × 13,551,142,070,257
  4. Step 4: Simplify right side
    13,551,142,070,257x = 275,450,177,112,440,542,928,568,320
  5. Step 5: Solve for x
    x = 275,450,177,112,440,542,928,568,320/13,551,142,070,257
  6. Step 6: Final answer
    x = 20,326,713,105,386

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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.