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Finding the Fourth Proportional to 604,598,165.64, 834,318,628.02 and 336,687,816.60

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Solution

The fourth proportional to 604,598,165.64, 834,318,628.02 and 336,687,816.60 is: 464,614,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,598,165.64 : 834,318,628.02 = 336,687,816.60 : x
  2. Step 2: Convert to fraction form
    604,598,165.64/834,318,628.02 = 336,687,816.60/x
  3. Step 3: Cross multiply
    604,598,165.64x = 834,318,628.02 × 336,687,816.60
  4. Step 4: Simplify right side
    604,598,165.64x = 280,904,917,216,761,408
  5. Step 5: Solve for x
    x = 280,904,917,216,761,408/604,598,165.64
  6. Step 6: Final answer
    x = 464,614,239.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.