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Finding the Fourth Proportional to 2,689,962,432,783.50, 4,034,943,649,174.90 and 2,689,962,432,783.50

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Solution

The fourth proportional to 2,689,962,432,783.50, 4,034,943,649,174.90 and 2,689,962,432,783.50 is: 4,034,943,649,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689,962,432,783.50 : 4,034,943,649,174.90 = 2,689,962,432,783.50 : x
  2. Step 2: Convert to fraction form
    2,689,962,432,783.50/4,034,943,649,174.90 = 2,689,962,432,783.50/x
  3. Step 3: Cross multiply
    2,689,962,432,783.50x = 4,034,943,649,174.90 × 2,689,962,432,783.50
  4. Step 4: Simplify right side
    2,689,962,432,783.50x = 10,853,846,834,678,847,225,462,784
  5. Step 5: Solve for x
    x = 10,853,846,834,678,847,225,462,784/2,689,962,432,783.50
  6. Step 6: Final answer
    x = 4,034,943,649,174.90

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