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Finding the Fourth Proportional to 2,115,294,865.60, 2,964,473,912 and 2,115,294,865.60

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Solution

The fourth proportional to 2,115,294,865.60, 2,964,473,912 and 2,115,294,865.60 is: 2,964,473,912

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115,294,865.60 : 2,964,473,912 = 2,115,294,865.60 : x
  2. Step 2: Convert to fraction form
    2,115,294,865.60/2,964,473,912 = 2,115,294,865.60/x
  3. Step 3: Cross multiply
    2,115,294,865.60x = 2,964,473,912 × 2,115,294,865.60
  4. Step 4: Simplify right side
    2,115,294,865.60x = 6,270,736,445,258,745,856
  5. Step 5: Solve for x
    x = 6,270,736,445,258,745,856/2,115,294,865.60
  6. Step 6: Final answer
    x = 2,964,473,912

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.