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Finding the Fourth Proportional to 264,827,904,000.60, 397,241,856,000.90 and 264,827,904,000.60

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Solution

The fourth proportional to 264,827,904,000.60, 397,241,856,000.90 and 264,827,904,000.60 is: 397,241,856,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,827,904,000.60 : 397,241,856,000.90 = 264,827,904,000.60 : x
  2. Step 2: Convert to fraction form
    264,827,904,000.60/397,241,856,000.90 = 264,827,904,000.60/x
  3. Step 3: Cross multiply
    264,827,904,000.60x = 397,241,856,000.90 × 264,827,904,000.60
  4. Step 4: Simplify right side
    264,827,904,000.60x = 105,200,728,106,026,515,038,208
  5. Step 5: Solve for x
    x = 105,200,728,106,026,515,038,208/264,827,904,000.60
  6. Step 6: Final answer
    x = 397,241,856,000.90

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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.