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Finding the Fourth Proportional to 566,380,512,000.60, 849,570,768,000.90 and 566,380,512,000.60

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Solution

The fourth proportional to 566,380,512,000.60, 849,570,768,000.90 and 566,380,512,000.60 is: 849,570,768,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,380,512,000.60 : 849,570,768,000.90 = 566,380,512,000.60 : x
  2. Step 2: Convert to fraction form
    566,380,512,000.60/849,570,768,000.90 = 566,380,512,000.60/x
  3. Step 3: Cross multiply
    566,380,512,000.60x = 849,570,768,000.90 × 566,380,512,000.60
  4. Step 4: Simplify right side
    566,380,512,000.60x = 481,180,326,561,092,686,839,808
  5. Step 5: Solve for x
    x = 481,180,326,561,092,686,839,808/566,380,512,000.60
  6. Step 6: Final answer
    x = 849,570,768,000.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.