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Finding the Fourth Proportional to 2,018,423,405.70, 3,027,635,108.55 and 2,018,423,405.70

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Solution

The fourth proportional to 2,018,423,405.70, 3,027,635,108.55 and 2,018,423,405.70 is: 3,027,635,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018,423,405.70 : 3,027,635,108.55 = 2,018,423,405.70 : x
  2. Step 2: Convert to fraction form
    2,018,423,405.70/3,027,635,108.55 = 2,018,423,405.70/x
  3. Step 3: Cross multiply
    2,018,423,405.70x = 3,027,635,108.55 × 2,018,423,405.70
  4. Step 4: Simplify right side
    2,018,423,405.70x = 6,111,049,567,016,380,416
  5. Step 5: Solve for x
    x = 6,111,049,567,016,380,416/2,018,423,405.70
  6. Step 6: Final answer
    x = 3,027,635,108.55

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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.