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Finding the Fourth Proportional to 566,380,512,000.10, 849,570,768,000.10 and 566,380,512,000.10

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Solution

The fourth proportional to 566,380,512,000.10, 849,570,768,000.10 and 566,380,512,000.10 is: 849,570,768,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,380,512,000.10 : 849,570,768,000.10 = 566,380,512,000.10 : x
  2. Step 2: Convert to fraction form
    566,380,512,000.10/849,570,768,000.10 = 566,380,512,000.10/x
  3. Step 3: Cross multiply
    566,380,512,000.10x = 849,570,768,000.10 × 566,380,512,000.10
  4. Step 4: Simplify right side
    566,380,512,000.10x = 481,180,326,560,214,768,680,960
  5. Step 5: Solve for x
    x = 481,180,326,560,214,768,680,960/566,380,512,000.10
  6. Step 6: Final answer
    x = 849,570,768,000.10

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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.