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Finding the Fourth Proportional to 412,225,840,206.15, 617,468,047,374.80 and 412,225,840,206.15

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Solution

The fourth proportional to 412,225,840,206.15, 617,468,047,374.80 and 412,225,840,206.15 is: 617,468,047,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,225,840,206.15 : 617,468,047,374.80 = 412,225,840,206.15 : x
  2. Step 2: Convert to fraction form
    412,225,840,206.15/617,468,047,374.80 = 412,225,840,206.15/x
  3. Step 3: Cross multiply
    412,225,840,206.15x = 617,468,047,374.80 × 412,225,840,206.15
  4. Step 4: Simplify right side
    412,225,840,206.15x = 254,536,284,629,527,812,898,816
  5. Step 5: Solve for x
    x = 254,536,284,629,527,812,898,816/412,225,840,206.15
  6. Step 6: Final answer
    x = 617,468,047,374.80

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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.