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Finding the Fourth Proportional to 12,780,828,045.15, 19,171,242,067.73 and 12,780,828,045.15

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Solution

The fourth proportional to 12,780,828,045.15, 19,171,242,067.73 and 12,780,828,045.15 is: 19,171,242,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780,828,045.15 : 19,171,242,067.73 = 12,780,828,045.15 : x
  2. Step 2: Convert to fraction form
    12,780,828,045.15/19,171,242,067.73 = 12,780,828,045.15/x
  3. Step 3: Cross multiply
    12,780,828,045.15x = 19,171,242,067.73 × 12,780,828,045.15
  4. Step 4: Simplify right side
    12,780,828,045.15x = 245,024,348,279,539,138,560
  5. Step 5: Solve for x
    x = 245,024,348,279,539,138,560/12,780,828,045.15
  6. Step 6: Final answer
    x = 19,171,242,067.73

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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.