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Finding the Fourth Proportional to 7,663,295,271.60, 11,494,942,907.40 and 7,663,295,271.60

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Solution

The fourth proportional to 7,663,295,271.60, 11,494,942,907.40 and 7,663,295,271.60 is: 11,494,942,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663,295,271.60 : 11,494,942,907.40 = 7,663,295,271.60 : x
  2. Step 2: Convert to fraction form
    7,663,295,271.60/11,494,942,907.40 = 7,663,295,271.60/x
  3. Step 3: Cross multiply
    7,663,295,271.60x = 11,494,942,907.40 × 7,663,295,271.60
  4. Step 4: Simplify right side
    7,663,295,271.60x = 88,089,141,629,590,372,352
  5. Step 5: Solve for x
    x = 88,089,141,629,590,372,352/7,663,295,271.60
  6. Step 6: Final answer
    x = 11,494,942,907.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.