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Finding the Fourth Proportional to 12,684,362,406.60, 19,026,543,609.90 and 12,684,362,406.60

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Solution

The fourth proportional to 12,684,362,406.60, 19,026,543,609.90 and 12,684,362,406.60 is: 19,026,543,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684,362,406.60 : 19,026,543,609.90 = 12,684,362,406.60 : x
  2. Step 2: Convert to fraction form
    12,684,362,406.60/19,026,543,609.90 = 12,684,362,406.60/x
  3. Step 3: Cross multiply
    12,684,362,406.60x = 19,026,543,609.90 × 12,684,362,406.60
  4. Step 4: Simplify right side
    12,684,362,406.60x = 241,339,574,492,951,052,288
  5. Step 5: Solve for x
    x = 241,339,574,492,951,052,288/12,684,362,406.60
  6. Step 6: Final answer
    x = 19,026,543,609.90

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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.