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Finding the Fourth Proportional to 377,587,008,000.26, 566,380,512,000.40 and 377,587,008,000.26

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Solution

The fourth proportional to 377,587,008,000.26, 566,380,512,000.40 and 377,587,008,000.26 is: 566,380,512,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,587,008,000.26 : 566,380,512,000.40 = 377,587,008,000.26 : x
  2. Step 2: Convert to fraction form
    377,587,008,000.26/566,380,512,000.40 = 377,587,008,000.26/x
  3. Step 3: Cross multiply
    377,587,008,000.26x = 566,380,512,000.40 × 377,587,008,000.26
  4. Step 4: Simplify right side
    377,587,008,000.26x = 213,857,922,915,886,411,284,480
  5. Step 5: Solve for x
    x = 213,857,922,915,886,411,284,480/377,587,008,000.26
  6. Step 6: Final answer
    x = 566,380,512,000.40

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1.5x scale

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.