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Finding the Fourth Proportional to 519,867,396,007.80, 779,801,094,011.70 and 519,867,396,007.80

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Solution

The fourth proportional to 519,867,396,007.80, 779,801,094,011.70 and 519,867,396,007.80 is: 779,801,094,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,867,396,007.80 : 779,801,094,011.70 = 519,867,396,007.80 : x
  2. Step 2: Convert to fraction form
    519,867,396,007.80/779,801,094,011.70 = 519,867,396,007.80/x
  3. Step 3: Cross multiply
    519,867,396,007.80x = 779,801,094,011.70 × 519,867,396,007.80
  4. Step 4: Simplify right side
    519,867,396,007.80x = 405,393,164,147,896,078,041,088
  5. Step 5: Solve for x
    x = 405,393,164,147,896,078,041,088/519,867,396,007.80
  6. Step 6: Final answer
    x = 779,801,094,011.70

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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.