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Finding the Fourth Proportional to 1,098,843,014,633.80, 1,648,264,521,950.80 and 1,098,843,014,633.80

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Solution

The fourth proportional to 1,098,843,014,633.80, 1,648,264,521,950.80 and 1,098,843,014,633.80 is: 1,648,264,521,950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,843,014,633.80 : 1,648,264,521,950.80 = 1,098,843,014,633.80 : x
  2. Step 2: Convert to fraction form
    1,098,843,014,633.80/1,648,264,521,950.80 = 1,098,843,014,633.80/x
  3. Step 3: Cross multiply
    1,098,843,014,633.80x = 1,648,264,521,950.80 × 1,098,843,014,633.80
  4. Step 4: Simplify right side
    1,098,843,014,633.80x = 1,811,183,956,214,356,388,085,760
  5. Step 5: Solve for x
    x = 1,811,183,956,214,356,388,085,760/1,098,843,014,633.80
  6. Step 6: Final answer
    x = 1,648,264,521,950.80

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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.