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Finding the Fourth Proportional to 2,518,453,978.40, 3,778,165,169.40 and 965,624,200.40

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Solution

The fourth proportional to 2,518,453,978.40, 3,778,165,169.40 and 965,624,200.40 is: 1,448,621,952.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518,453,978.40 : 3,778,165,169.40 = 965,624,200.40 : x
  2. Step 2: Convert to fraction form
    2,518,453,978.40/3,778,165,169.40 = 965,624,200.40/x
  3. Step 3: Cross multiply
    2,518,453,978.40x = 3,778,165,169.40 × 965,624,200.40
  4. Step 4: Simplify right side
    2,518,453,978.40x = 3,648,287,720,681,005,568
  5. Step 5: Solve for x
    x = 3,648,287,720,681,005,568/2,518,453,978.40
  6. Step 6: Final answer
    x = 1,448,621,952.98

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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.