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Finding the Fourth Proportional to 519,867,396,051.30, 779,801,094,076.95 and 519,867,396,051.30

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Solution

The fourth proportional to 519,867,396,051.30, 779,801,094,076.95 and 519,867,396,051.30 is: 779,801,094,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,867,396,051.30 : 779,801,094,076.95 = 519,867,396,051.30 : x
  2. Step 2: Convert to fraction form
    519,867,396,051.30/779,801,094,076.95 = 519,867,396,051.30/x
  3. Step 3: Cross multiply
    519,867,396,051.30x = 779,801,094,076.95 × 519,867,396,051.30
  4. Step 4: Simplify right side
    519,867,396,051.30x = 405,393,164,215,738,777,468,928
  5. Step 5: Solve for x
    x = 405,393,164,215,738,777,468,928/519,867,396,051.30
  6. Step 6: Final answer
    x = 779,801,094,076.95

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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.