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Finding the Fourth Proportional to 564,120,002.40, 846,180,003.60 and 564,120,002.40

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Solution

The fourth proportional to 564,120,002.40, 846,180,003.60 and 564,120,002.40 is: 846,180,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,120,002.40 : 846,180,003.60 = 564,120,002.40 : x
  2. Step 2: Convert to fraction form
    564,120,002.40/846,180,003.60 = 564,120,002.40/x
  3. Step 3: Cross multiply
    564,120,002.40x = 846,180,003.60 × 564,120,002.40
  4. Step 4: Simplify right side
    564,120,002.40x = 477,347,065,661,664,000
  5. Step 5: Solve for x
    x = 477,347,065,661,664,000/564,120,002.40
  6. Step 6: Final answer
    x = 846,180,003.60

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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.