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Finding the Fourth Proportional to 567,012,002.80, 850,518,004.20 and 412,043,807.20

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Solution

The fourth proportional to 567,012,002.80, 850,518,004.20 and 412,043,807.20 is: 618,065,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,012,002.80 : 850,518,004.20 = 412,043,807.20 : x
  2. Step 2: Convert to fraction form
    567,012,002.80/850,518,004.20 = 412,043,807.20/x
  3. Step 3: Cross multiply
    567,012,002.80x = 850,518,004.20 × 412,043,807.20
  4. Step 4: Simplify right side
    567,012,002.80x = 350,450,676,542,713,600
  5. Step 5: Solve for x
    x = 350,450,676,542,713,600/567,012,002.80
  6. Step 6: Final answer
    x = 618,065,710.80

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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.