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Finding the Fourth Proportional to 347,584,205.60, 487,978,376.80 and 347,584,205.60

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Solution

The fourth proportional to 347,584,205.60, 487,978,376.80 and 347,584,205.60 is: 487,978,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,584,205.60 : 487,978,376.80 = 347,584,205.60 : x
  2. Step 2: Convert to fraction form
    347,584,205.60/487,978,376.80 = 347,584,205.60/x
  3. Step 3: Cross multiply
    347,584,205.60x = 487,978,376.80 × 347,584,205.60
  4. Step 4: Simplify right side
    347,584,205.60x = 169,613,576,450,005,472
  5. Step 5: Solve for x
    x = 169,613,576,450,005,472/347,584,205.60
  6. Step 6: Final answer
    x = 487,978,376.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.