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Finding the Fourth Proportional to 511,202,405.20, 766,803,607.80 and 511,202,405.20

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Solution

The fourth proportional to 511,202,405.20, 766,803,607.80 and 511,202,405.20 is: 766,803,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,202,405.20 : 766,803,607.80 = 511,202,405.20 : x
  2. Step 2: Convert to fraction form
    511,202,405.20/766,803,607.80 = 511,202,405.20/x
  3. Step 3: Cross multiply
    511,202,405.20x = 766,803,607.80 × 511,202,405.20
  4. Step 4: Simplify right side
    511,202,405.20x = 391,991,848,623,397,440
  5. Step 5: Solve for x
    x = 391,991,848,623,397,440/511,202,405.20
  6. Step 6: Final answer
    x = 766,803,607.80

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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.