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Finding the Fourth Proportional to 1,984,698,896.10, 2,977,048,344.15 and 1,984,698,896.10

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Solution

The fourth proportional to 1,984,698,896.10, 2,977,048,344.15 and 1,984,698,896.10 is: 2,977,048,344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984,698,896.10 : 2,977,048,344.15 = 1,984,698,896.10 : x
  2. Step 2: Convert to fraction form
    1,984,698,896.10/2,977,048,344.15 = 1,984,698,896.10/x
  3. Step 3: Cross multiply
    1,984,698,896.10x = 2,977,048,344.15 × 1,984,698,896.10
  4. Step 4: Simplify right side
    1,984,698,896.10x = 5,908,544,562,270,837,760
  5. Step 5: Solve for x
    x = 5,908,544,562,270,837,760/1,984,698,896.10
  6. Step 6: Final answer
    x = 2,977,048,344.15

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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.