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Finding the Fourth Proportional to 1,964,460,800.40, 2,946,691,200.60 and 1,964,460,800.40

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Solution

The fourth proportional to 1,964,460,800.40, 2,946,691,200.60 and 1,964,460,800.40 is: 2,946,691,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964,460,800.40 : 2,946,691,200.60 = 1,964,460,800.40 : x
  2. Step 2: Convert to fraction form
    1,964,460,800.40/2,946,691,200.60 = 1,964,460,800.40/x
  3. Step 3: Cross multiply
    1,964,460,800.40x = 2,946,691,200.60 × 1,964,460,800.40
  4. Step 4: Simplify right side
    1,964,460,800.40x = 5,788,659,354,462,313,472
  5. Step 5: Solve for x
    x = 5,788,659,354,462,313,472/1,964,460,800.40
  6. Step 6: Final answer
    x = 2,946,691,200.60

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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.