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Finding the Fourth Proportional to 511,056,538.40, 766,584,807.60 and 511,056,538.40

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Solution

The fourth proportional to 511,056,538.40, 766,584,807.60 and 511,056,538.40 is: 766,584,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,056,538.40 : 766,584,807.60 = 511,056,538.40 : x
  2. Step 2: Convert to fraction form
    511,056,538.40/766,584,807.60 = 511,056,538.40/x
  3. Step 3: Cross multiply
    511,056,538.40x = 766,584,807.60 × 511,056,538.40
  4. Step 4: Simplify right side
    511,056,538.40x = 391,768,178,162,086,016
  5. Step 5: Solve for x
    x = 391,768,178,162,086,016/511,056,538.40
  6. Step 6: Final answer
    x = 766,584,807.60

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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.