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Finding the Fourth Proportional to 7,080,842,404.80, 10,621,263,607.20 and 7,080,842,404.80

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Solution

The fourth proportional to 7,080,842,404.80, 10,621,263,607.20 and 7,080,842,404.80 is: 10,621,263,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080,842,404.80 : 10,621,263,607.20 = 7,080,842,404.80 : x
  2. Step 2: Convert to fraction form
    7,080,842,404.80/10,621,263,607.20 = 7,080,842,404.80/x
  3. Step 3: Cross multiply
    7,080,842,404.80x = 10,621,263,607.20 × 7,080,842,404.80
  4. Step 4: Simplify right side
    7,080,842,404.80x = 75,207,493,742,420,770,816
  5. Step 5: Solve for x
    x = 75,207,493,742,420,770,816/7,080,842,404.80
  6. Step 6: Final answer
    x = 10,621,263,607.20

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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.