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Finding the Fourth Proportional to 12,780,828,037.65, 19,171,242,056.52 and 12,780,828,037.65

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Solution

The fourth proportional to 12,780,828,037.65, 19,171,242,056.52 and 12,780,828,037.65 is: 19,171,242,056.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780,828,037.65 : 19,171,242,056.52 = 12,780,828,037.65 : x
  2. Step 2: Convert to fraction form
    12,780,828,037.65/19,171,242,056.52 = 12,780,828,037.65/x
  3. Step 3: Cross multiply
    12,780,828,037.65x = 19,171,242,056.52 × 12,780,828,037.65
  4. Step 4: Simplify right side
    12,780,828,037.65x = 245,024,347,992,545,656,832
  5. Step 5: Solve for x
    x = 245,024,347,992,545,656,832/12,780,828,037.65
  6. Step 6: Final answer
    x = 19,171,242,056.52

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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.