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Finding the Fourth Proportional to 383,466,843.60, 575,200,265.40 and 383,466,843.60

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Solution

The fourth proportional to 383,466,843.60, 575,200,265.40 and 383,466,843.60 is: 575,200,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,466,843.60 : 575,200,265.40 = 383,466,843.60 : x
  2. Step 2: Convert to fraction form
    383,466,843.60/575,200,265.40 = 383,466,843.60/x
  3. Step 3: Cross multiply
    383,466,843.60x = 575,200,265.40 × 383,466,843.60
  4. Step 4: Simplify right side
    383,466,843.60x = 220,570,230,210,820,288
  5. Step 5: Solve for x
    x = 220,570,230,210,820,288/383,466,843.60
  6. Step 6: Final answer
    x = 575,200,265.40

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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.