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Finding the Fourth Proportional to 655,352,905.60, 982,368,009.60 and 327,323,900.80

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Solution

The fourth proportional to 655,352,905.60, 982,368,009.60 and 327,323,900.80 is: 490,655,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,352,905.60 : 982,368,009.60 = 327,323,900.80 : x
  2. Step 2: Convert to fraction form
    655,352,905.60/982,368,009.60 = 327,323,900.80/x
  3. Step 3: Cross multiply
    655,352,905.60x = 982,368,009.60 × 327,323,900.80
  4. Step 4: Simplify right side
    655,352,905.60x = 321,552,528,923,403,840
  5. Step 5: Solve for x
    x = 321,552,528,923,403,840/655,352,905.60
  6. Step 6: Final answer
    x = 490,655,532.58

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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.