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Finding the Fourth Proportional to 2,689,962,433,234.40, 4,034,943,649,851.40 and 2,689,962,433,234.40

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Solution

The fourth proportional to 2,689,962,433,234.40, 4,034,943,649,851.40 and 2,689,962,433,234.40 is: 4,034,943,649,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689,962,433,234.40 : 4,034,943,649,851.40 = 2,689,962,433,234.40 : x
  2. Step 2: Convert to fraction form
    2,689,962,433,234.40/4,034,943,649,851.40 = 2,689,962,433,234.40/x
  3. Step 3: Cross multiply
    2,689,962,433,234.40x = 4,034,943,649,851.40 × 2,689,962,433,234.40
  4. Step 4: Simplify right side
    2,689,962,433,234.40x = 10,853,846,838,317,962,277,945,344
  5. Step 5: Solve for x
    x = 10,853,846,838,317,962,277,945,344/2,689,962,433,234.40
  6. Step 6: Final answer
    x = 4,034,943,649,851.40

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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.