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Finding the Fourth Proportional to 409,200,465.60, 613,800,698.40 and 409,200,465.60

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Solution

The fourth proportional to 409,200,465.60, 613,800,698.40 and 409,200,465.60 is: 613,800,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,200,465.60 : 613,800,698.40 = 409,200,465.60 : x
  2. Step 2: Convert to fraction form
    409,200,465.60/613,800,698.40 = 409,200,465.60/x
  3. Step 3: Cross multiply
    409,200,465.60x = 613,800,698.40 × 409,200,465.60
  4. Step 4: Simplify right side
    409,200,465.60x = 251,167,531,570,885,184
  5. Step 5: Solve for x
    x = 251,167,531,570,885,184/409,200,465.60
  6. Step 6: Final answer
    x = 613,800,698.40

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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.