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Finding the Fourth Proportional to 280,291,821.60, 420,437,732.40 and 280,291,821.60

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Solution

The fourth proportional to 280,291,821.60, 420,437,732.40 and 280,291,821.60 is: 420,437,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,291,821.60 : 420,437,732.40 = 280,291,821.60 : x
  2. Step 2: Convert to fraction form
    280,291,821.60/420,437,732.40 = 280,291,821.60/x
  3. Step 3: Cross multiply
    280,291,821.60x = 420,437,732.40 × 280,291,821.60
  4. Step 4: Simplify right side
    280,291,821.60x = 117,845,257,883,769,344
  5. Step 5: Solve for x
    x = 117,845,257,883,769,344/280,291,821.60
  6. Step 6: Final answer
    x = 420,437,732.40

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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.