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Finding the Fourth Proportional to 392,203,574,130.60, 587,375,552,022.30 and 392,203,574,130.60

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Solution

The fourth proportional to 392,203,574,130.60, 587,375,552,022.30 and 392,203,574,130.60 is: 587,375,552,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,203,574,130.60 : 587,375,552,022.30 = 392,203,574,130.60 : x
  2. Step 2: Convert to fraction form
    392,203,574,130.60/587,375,552,022.30 = 392,203,574,130.60/x
  3. Step 3: Cross multiply
    392,203,574,130.60x = 587,375,552,022.30 × 392,203,574,130.60
  4. Step 4: Simplify right side
    392,203,574,130.60x = 230,370,790,860,080,239,607,808
  5. Step 5: Solve for x
    x = 230,370,790,860,080,239,607,808/392,203,574,130.60
  6. Step 6: Final answer
    x = 587,375,552,022.30

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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.