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Finding the Fourth Proportional to 2,970,290,970.20, 4,455,436,455.30 and 2,970,290,970.20

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Solution

The fourth proportional to 2,970,290,970.20, 4,455,436,455.30 and 2,970,290,970.20 is: 4,455,436,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970,290,970.20 : 4,455,436,455.30 = 2,970,290,970.20 : x
  2. Step 2: Convert to fraction form
    2,970,290,970.20/4,455,436,455.30 = 2,970,290,970.20/x
  3. Step 3: Cross multiply
    2,970,290,970.20x = 4,455,436,455.30 × 2,970,290,970.20
  4. Step 4: Simplify right side
    2,970,290,970.20x = 13,233,942,671,477,485,568
  5. Step 5: Solve for x
    x = 13,233,942,671,477,485,568/2,970,290,970.20
  6. Step 6: Final answer
    x = 4,455,436,455.30

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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.