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Finding the Fourth Proportional to 1,098,843,014,633.30, 1,648,264,521,950.10 and 1,098,843,014,633.30

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Solution

The fourth proportional to 1,098,843,014,633.30, 1,648,264,521,950.10 and 1,098,843,014,633.30 is: 1,648,264,521,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,843,014,633.30 : 1,648,264,521,950.10 = 1,098,843,014,633.30 : x
  2. Step 2: Convert to fraction form
    1,098,843,014,633.30/1,648,264,521,950.10 = 1,098,843,014,633.30/x
  3. Step 3: Cross multiply
    1,098,843,014,633.30x = 1,648,264,521,950.10 × 1,098,843,014,633.30
  4. Step 4: Simplify right side
    1,098,843,014,633.30x = 1,811,183,956,212,763,223,654,400
  5. Step 5: Solve for x
    x = 1,811,183,956,212,763,223,654,400/1,098,843,014,633.30
  6. Step 6: Final answer
    x = 1,648,264,521,950.10

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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.