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Finding the Fourth Proportional to 1,783,804,943.90, 2,675,707,415.85 and 491,340,431.90

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Solution

The fourth proportional to 1,783,804,943.90, 2,675,707,415.85 and 491,340,431.90 is: 737,010,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783,804,943.90 : 2,675,707,415.85 = 491,340,431.90 : x
  2. Step 2: Convert to fraction form
    1,783,804,943.90/2,675,707,415.85 = 491,340,431.90/x
  3. Step 3: Cross multiply
    1,783,804,943.90x = 2,675,707,415.85 × 491,340,431.90
  4. Step 4: Simplify right side
    1,783,804,943.90x = 1,314,683,237,341,771,776
  5. Step 5: Solve for x
    x = 1,314,683,237,341,771,776/1,783,804,943.90
  6. Step 6: Final answer
    x = 737,010,647.85

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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.