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Finding the Fourth Proportional to 6,024,465,920.20, 9,036,698,880.30 and 6,024,465,920.20

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Solution

The fourth proportional to 6,024,465,920.20, 9,036,698,880.30 and 6,024,465,920.20 is: 9,036,698,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024,465,920.20 : 9,036,698,880.30 = 6,024,465,920.20 : x
  2. Step 2: Convert to fraction form
    6,024,465,920.20/9,036,698,880.30 = 6,024,465,920.20/x
  3. Step 3: Cross multiply
    6,024,465,920.20x = 9,036,698,880.30 × 6,024,465,920.20
  4. Step 4: Simplify right side
    6,024,465,920.20x = 54,441,284,435,476,840,448
  5. Step 5: Solve for x
    x = 54,441,284,435,476,840,448/6,024,465,920.20
  6. Step 6: Final answer
    x = 9,036,698,880.30

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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.