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Finding the Fourth Proportional to 511,238,532.20, 766,857,798.30 and 511,238,532.20

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Solution

The fourth proportional to 511,238,532.20, 766,857,798.30 and 511,238,532.20 is: 766,857,798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,238,532.20 : 766,857,798.30 = 511,238,532.20 : x
  2. Step 2: Convert to fraction form
    511,238,532.20/766,857,798.30 = 511,238,532.20/x
  3. Step 3: Cross multiply
    511,238,532.20x = 766,857,798.30 × 511,238,532.20
  4. Step 4: Simplify right side
    511,238,532.20x = 392,047,255,209,015,616
  5. Step 5: Solve for x
    x = 392,047,255,209,015,616/511,238,532.20
  6. Step 6: Final answer
    x = 766,857,798.30

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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.