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Finding the Fourth Proportional to 523,498,448.40, 785,247,672.60 and 442,876,880.40

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Solution

The fourth proportional to 523,498,448.40, 785,247,672.60 and 442,876,880.40 is: 664,315,320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,498,448.40 : 785,247,672.60 = 442,876,880.40 : x
  2. Step 2: Convert to fraction form
    523,498,448.40/785,247,672.60 = 442,876,880.40/x
  3. Step 3: Cross multiply
    523,498,448.40x = 785,247,672.60 × 442,876,880.40
  4. Step 4: Simplify right side
    523,498,448.40x = 347,768,039,582,448,576
  5. Step 5: Solve for x
    x = 347,768,039,582,448,576/523,498,448.40
  6. Step 6: Final answer
    x = 664,315,320.60

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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.