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Finding the Fourth Proportional to 383,465,762.10, 575,198,643.15 and 383,465,762.10

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Solution

The fourth proportional to 383,465,762.10, 575,198,643.15 and 383,465,762.10 is: 575,198,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,465,762.10 : 575,198,643.15 = 383,465,762.10 : x
  2. Step 2: Convert to fraction form
    383,465,762.10/575,198,643.15 = 383,465,762.10/x
  3. Step 3: Cross multiply
    383,465,762.10x = 575,198,643.15 × 383,465,762.10
  4. Step 4: Simplify right side
    383,465,762.10x = 220,568,986,054,400,704
  5. Step 5: Solve for x
    x = 220,568,986,054,400,704/383,465,762.10
  6. Step 6: Final answer
    x = 575,198,643.15

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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.