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Finding the Fourth Proportional to 317,565,522,073.06, 476,348,283,109.56 and 317,565,522,073.06

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Solution

The fourth proportional to 317,565,522,073.06, 476,348,283,109.56 and 317,565,522,073.06 is: 476,348,283,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,565,522,073.06 : 476,348,283,109.56 = 317,565,522,073.06 : x
  2. Step 2: Convert to fraction form
    317,565,522,073.06/476,348,283,109.56 = 317,565,522,073.06/x
  3. Step 3: Cross multiply
    317,565,522,073.06x = 476,348,283,109.56 × 317,565,522,073.06
  4. Step 4: Simplify right side
    317,565,522,073.06x = 151,271,791,214,293,222,948,864
  5. Step 5: Solve for x
    x = 151,271,791,214,293,222,948,864/317,565,522,073.06
  6. Step 6: Final answer
    x = 476,348,283,109.56

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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.