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Finding the Fourth Proportional to 804,025,000.80, 1,203,486,584.40 and 804,025,000.80

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Solution

The fourth proportional to 804,025,000.80, 1,203,486,584.40 and 804,025,000.80 is: 1,203,486,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,025,000.80 : 1,203,486,584.40 = 804,025,000.80 : x
  2. Step 2: Convert to fraction form
    804,025,000.80/1,203,486,584.40 = 804,025,000.80/x
  3. Step 3: Cross multiply
    804,025,000.80x = 1,203,486,584.40 × 804,025,000.80
  4. Step 4: Simplify right side
    804,025,000.80x = 967,633,301,984,999,296
  5. Step 5: Solve for x
    x = 967,633,301,984,999,296/804,025,000.80
  6. Step 6: Final answer
    x = 1,203,486,584.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.