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Finding the Fourth Proportional to 12,774,861,807.15, 19,162,292,710.73 and 12,774,861,807.15

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Solution

The fourth proportional to 12,774,861,807.15, 19,162,292,710.73 and 12,774,861,807.15 is: 19,162,292,710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774,861,807.15 : 19,162,292,710.73 = 12,774,861,807.15 : x
  2. Step 2: Convert to fraction form
    12,774,861,807.15/19,162,292,710.73 = 12,774,861,807.15/x
  3. Step 3: Cross multiply
    12,774,861,807.15x = 19,162,292,710.73 × 12,774,861,807.15
  4. Step 4: Simplify right side
    12,774,861,807.15x = 244,795,641,287,669,612,544
  5. Step 5: Solve for x
    x = 244,795,641,287,669,612,544/12,774,861,807.15
  6. Step 6: Final answer
    x = 19,162,292,710.73

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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.