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Finding the Fourth Proportional to 3,189,951,405.60, 4,784,927,108.40 and 3,189,951,405.60

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Solution

The fourth proportional to 3,189,951,405.60, 4,784,927,108.40 and 3,189,951,405.60 is: 4,784,927,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189,951,405.60 : 4,784,927,108.40 = 3,189,951,405.60 : x
  2. Step 2: Convert to fraction form
    3,189,951,405.60/4,784,927,108.40 = 3,189,951,405.60/x
  3. Step 3: Cross multiply
    3,189,951,405.60x = 4,784,927,108.40 × 3,189,951,405.60
  4. Step 4: Simplify right side
    3,189,951,405.60x = 15,263,684,955,134,121,984
  5. Step 5: Solve for x
    x = 15,263,684,955,134,121,984/3,189,951,405.60
  6. Step 6: Final answer
    x = 4,784,927,108.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.