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Finding the Fourth Proportional to 965,196,015.40, 1,444,924,241.70 and 965,196,015.40

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Solution

The fourth proportional to 965,196,015.40, 1,444,924,241.70 and 965,196,015.40 is: 1,444,924,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,196,015.40 : 1,444,924,241.70 = 965,196,015.40 : x
  2. Step 2: Convert to fraction form
    965,196,015.40/1,444,924,241.70 = 965,196,015.40/x
  3. Step 3: Cross multiply
    965,196,015.40x = 1,444,924,241.70 × 965,196,015.40
  4. Step 4: Simplify right side
    965,196,015.40x = 1,394,635,120,643,706,624
  5. Step 5: Solve for x
    x = 1,394,635,120,643,706,624/965,196,015.40
  6. Step 6: Final answer
    x = 1,444,924,241.70

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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.