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Finding the Fourth Proportional to 430,099,585.60, 645,149,378.40 and 430,099,585.60

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Solution

The fourth proportional to 430,099,585.60, 645,149,378.40 and 430,099,585.60 is: 645,149,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,099,585.60 : 645,149,378.40 = 430,099,585.60 : x
  2. Step 2: Convert to fraction form
    430,099,585.60/645,149,378.40 = 430,099,585.60/x
  3. Step 3: Cross multiply
    430,099,585.60x = 645,149,378.40 × 430,099,585.60
  4. Step 4: Simplify right side
    430,099,585.60x = 277,478,480,299,937,600
  5. Step 5: Solve for x
    x = 277,478,480,299,937,600/430,099,585.60
  6. Step 6: Final answer
    x = 645,149,378.40

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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.