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Finding the Fourth Proportional to 377,587,008,000.40, 566,380,512,000.60 and 377,587,008,000.40

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Solution

The fourth proportional to 377,587,008,000.40, 566,380,512,000.60 and 377,587,008,000.40 is: 566,380,512,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,587,008,000.40 : 566,380,512,000.60 = 377,587,008,000.40 : x
  2. Step 2: Convert to fraction form
    377,587,008,000.40/566,380,512,000.60 = 377,587,008,000.40/x
  3. Step 3: Cross multiply
    377,587,008,000.40x = 566,380,512,000.60 × 377,587,008,000.40
  4. Step 4: Simplify right side
    377,587,008,000.40x = 213,857,922,916,041,197,879,296
  5. Step 5: Solve for x
    x = 213,857,922,916,041,197,879,296/377,587,008,000.40
  6. Step 6: Final answer
    x = 566,380,512,000.60

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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.