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Finding the Fourth Proportional to 511,056,410.40, 766,584,615.60 and 511,056,410.40

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Solution

The fourth proportional to 511,056,410.40, 766,584,615.60 and 511,056,410.40 is: 766,584,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,056,410.40 : 766,584,615.60 = 511,056,410.40 : x
  2. Step 2: Convert to fraction form
    511,056,410.40/766,584,615.60 = 511,056,410.40/x
  3. Step 3: Cross multiply
    511,056,410.40x = 766,584,615.60 × 511,056,410.40
  4. Step 4: Simplify right side
    511,056,410.40x = 391,767,981,916,399,808
  5. Step 5: Solve for x
    x = 391,767,981,916,399,808/511,056,410.40
  6. Step 6: Final answer
    x = 766,584,615.60

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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.