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Finding the Fourth Proportional to 4,127,924,427.20, 5,795,420,065.60 and 4,127,924,427.20

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Solution

The fourth proportional to 4,127,924,427.20, 5,795,420,065.60 and 4,127,924,427.20 is: 5,795,420,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127,924,427.20 : 5,795,420,065.60 = 4,127,924,427.20 : x
  2. Step 2: Convert to fraction form
    4,127,924,427.20/5,795,420,065.60 = 4,127,924,427.20/x
  3. Step 3: Cross multiply
    4,127,924,427.20x = 5,795,420,065.60 × 4,127,924,427.20
  4. Step 4: Simplify right side
    4,127,924,427.20x = 23,923,056,054,675,267,584
  5. Step 5: Solve for x
    x = 23,923,056,054,675,267,584/4,127,924,427.20
  6. Step 6: Final answer
    x = 5,795,420,065.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.