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Finding the Fourth Proportional to 645,149,822.40, 967,724,733.60 and 645,149,822.40

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Solution

The fourth proportional to 645,149,822.40, 967,724,733.60 and 645,149,822.40 is: 967,724,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,149,822.40 : 967,724,733.60 = 645,149,822.40 : x
  2. Step 2: Convert to fraction form
    645,149,822.40/967,724,733.60 = 645,149,822.40/x
  3. Step 3: Cross multiply
    645,149,822.40x = 967,724,733.60 × 645,149,822.40
  4. Step 4: Simplify right side
    645,149,822.40x = 624,327,440,014,127,360
  5. Step 5: Solve for x
    x = 624,327,440,014,127,360/645,149,822.40
  6. Step 6: Final answer
    x = 967,724,733.60

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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.