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Finding the Fourth Proportional to 1,435,004,728.40, 2,149,105,870.20 and 1,435,004,728.40

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Solution

The fourth proportional to 1,435,004,728.40, 2,149,105,870.20 and 1,435,004,728.40 is: 2,149,105,870.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,004,728.40 : 2,149,105,870.20 = 1,435,004,728.40 : x
  2. Step 2: Convert to fraction form
    1,435,004,728.40/2,149,105,870.20 = 1,435,004,728.40/x
  3. Step 3: Cross multiply
    1,435,004,728.40x = 2,149,105,870.20 × 1,435,004,728.40
  4. Step 4: Simplify right side
    1,435,004,728.40x = 3,083,977,085,569,196,544
  5. Step 5: Solve for x
    x = 3,083,977,085,569,196,544/1,435,004,728.40
  6. Step 6: Final answer
    x = 2,149,105,870.20

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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.