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Finding the Fourth Proportional to 332,563,968,015.40, 498,845,952,023.12 and 332,563,968,015.40

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Solution

The fourth proportional to 332,563,968,015.40, 498,845,952,023.12 and 332,563,968,015.40 is: 498,845,952,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,563,968,015.40 : 498,845,952,023.12 = 332,563,968,015.40 : x
  2. Step 2: Convert to fraction form
    332,563,968,015.40/498,845,952,023.12 = 332,563,968,015.40/x
  3. Step 3: Cross multiply
    332,563,968,015.40x = 498,845,952,023.12 × 332,563,968,015.40
  4. Step 4: Simplify right side
    332,563,968,015.40x = 165,898,189,233,228,661,915,648
  5. Step 5: Solve for x
    x = 165,898,189,233,228,661,915,648/332,563,968,015.40
  6. Step 6: Final answer
    x = 498,845,952,023.12

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Double scale
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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.