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Finding the Fourth Proportional to 5,668,714,664.40, 8,503,071,996.60 and 5,668,714,664.40

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Solution

The fourth proportional to 5,668,714,664.40, 8,503,071,996.60 and 5,668,714,664.40 is: 8,503,071,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668,714,664.40 : 8,503,071,996.60 = 5,668,714,664.40 : x
  2. Step 2: Convert to fraction form
    5,668,714,664.40/8,503,071,996.60 = 5,668,714,664.40/x
  3. Step 3: Cross multiply
    5,668,714,664.40x = 8,503,071,996.60 × 5,668,714,664.40
  4. Step 4: Simplify right side
    5,668,714,664.40x = 48,201,488,919,575,404,544
  5. Step 5: Solve for x
    x = 48,201,488,919,575,404,544/5,668,714,664.40
  6. Step 6: Final answer
    x = 8,503,071,996.60

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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.