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Finding the Fourth Proportional to 2,391,854,135.40, 3,340,432,855.80 and 2,391,854,135.40

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Solution

The fourth proportional to 2,391,854,135.40, 3,340,432,855.80 and 2,391,854,135.40 is: 3,340,432,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391,854,135.40 : 3,340,432,855.80 = 2,391,854,135.40 : x
  2. Step 2: Convert to fraction form
    2,391,854,135.40/3,340,432,855.80 = 2,391,854,135.40/x
  3. Step 3: Cross multiply
    2,391,854,135.40x = 3,340,432,855.80 × 2,391,854,135.40
  4. Step 4: Simplify right side
    2,391,854,135.40x = 7,989,828,140,171,262,976
  5. Step 5: Solve for x
    x = 7,989,828,140,171,262,976/2,391,854,135.40
  6. Step 6: Final answer
    x = 3,340,432,855.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.