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Finding the Fourth Proportional to 258,328,656,023.60, 387,492,984,035.40 and 258,328,656,023.60

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Solution

The fourth proportional to 258,328,656,023.60, 387,492,984,035.40 and 258,328,656,023.60 is: 387,492,984,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,328,656,023.60 : 387,492,984,035.40 = 258,328,656,023.60 : x
  2. Step 2: Convert to fraction form
    258,328,656,023.60/387,492,984,035.40 = 258,328,656,023.60/x
  3. Step 3: Cross multiply
    258,328,656,023.60x = 387,492,984,035.40 × 258,328,656,023.60
  4. Step 4: Simplify right side
    258,328,656,023.60x = 100,100,541,784,439,184,687,104
  5. Step 5: Solve for x
    x = 100,100,541,784,439,184,687,104/258,328,656,023.60
  6. Step 6: Final answer
    x = 387,492,984,035.40

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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.