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Finding the Fourth Proportional to 2,008,090,838.40, 3,012,136,257.72 and 2,008,090,838.40

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Solution

The fourth proportional to 2,008,090,838.40, 3,012,136,257.72 and 2,008,090,838.40 is: 3,012,136,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008,090,838.40 : 3,012,136,257.72 = 2,008,090,838.40 : x
  2. Step 2: Convert to fraction form
    2,008,090,838.40/3,012,136,257.72 = 2,008,090,838.40/x
  3. Step 3: Cross multiply
    2,008,090,838.40x = 3,012,136,257.72 × 2,008,090,838.40
  4. Step 4: Simplify right side
    2,008,090,838.40x = 6,048,643,223,139,993,600
  5. Step 5: Solve for x
    x = 6,048,643,223,139,993,600/2,008,090,838.40
  6. Step 6: Final answer
    x = 3,012,136,257.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.