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Finding the Fourth Proportional to 264,827,904,005.60, 397,241,856,008.40 and 264,827,904,005.60

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Solution

The fourth proportional to 264,827,904,005.60, 397,241,856,008.40 and 264,827,904,005.60 is: 397,241,856,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,827,904,005.60 : 397,241,856,008.40 = 264,827,904,005.60 : x
  2. Step 2: Convert to fraction form
    264,827,904,005.60/397,241,856,008.40 = 264,827,904,005.60/x
  3. Step 3: Cross multiply
    264,827,904,005.60x = 397,241,856,008.40 × 264,827,904,005.60
  4. Step 4: Simplify right side
    264,827,904,005.60x = 105,200,728,109,998,940,356,608
  5. Step 5: Solve for x
    x = 105,200,728,109,998,940,356,608/264,827,904,005.60
  6. Step 6: Final answer
    x = 397,241,856,008.40

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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.