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Finding the Fourth Proportional to 12,780,828,046.15, 19,171,242,069.23 and 12,780,828,046.15

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Solution

The fourth proportional to 12,780,828,046.15, 19,171,242,069.23 and 12,780,828,046.15 is: 19,171,242,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780,828,046.15 : 19,171,242,069.23 = 12,780,828,046.15 : x
  2. Step 2: Convert to fraction form
    12,780,828,046.15/19,171,242,069.23 = 12,780,828,046.15/x
  3. Step 3: Cross multiply
    12,780,828,046.15x = 19,171,242,069.23 × 12,780,828,046.15
  4. Step 4: Simplify right side
    12,780,828,046.15x = 245,024,348,317,945,528,320
  5. Step 5: Solve for x
    x = 245,024,348,317,945,528,320/12,780,828,046.15
  6. Step 6: Final answer
    x = 19,171,242,069.23

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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.