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Finding the Fourth Proportional to 14,948,896,820.20, 22,423,345,230.30 and 14,948,896,820.20

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Solution

The fourth proportional to 14,948,896,820.20, 22,423,345,230.30 and 14,948,896,820.20 is: 22,423,345,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,948,896,820.20 : 22,423,345,230.30 = 14,948,896,820.20 : x
  2. Step 2: Convert to fraction form
    14,948,896,820.20/22,423,345,230.30 = 14,948,896,820.20/x
  3. Step 3: Cross multiply
    14,948,896,820.20x = 22,423,345,230.30 × 14,948,896,820.20
  4. Step 4: Simplify right side
    14,948,896,820.20x = 335,204,274,211,478,503,424
  5. Step 5: Solve for x
    x = 335,204,274,211,478,503,424/14,948,896,820.20
  6. Step 6: Final answer
    x = 22,423,345,230.30

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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.