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Finding the Fourth Proportional to 11,017,848,279.60, 16,526,772,419.40 and 11,017,848,279.60

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Solution

The fourth proportional to 11,017,848,279.60, 16,526,772,419.40 and 11,017,848,279.60 is: 16,526,772,419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017,848,279.60 : 16,526,772,419.40 = 11,017,848,279.60 : x
  2. Step 2: Convert to fraction form
    11,017,848,279.60/16,526,772,419.40 = 11,017,848,279.60/x
  3. Step 3: Cross multiply
    11,017,848,279.60x = 16,526,772,419.40 × 11,017,848,279.60
  4. Step 4: Simplify right side
    11,017,848,279.60x = 182,089,471,068,427,026,432
  5. Step 5: Solve for x
    x = 182,089,471,068,427,026,432/11,017,848,279.60
  6. Step 6: Final answer
    x = 16,526,772,419.40

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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.