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Finding the Fourth Proportional to 1,765,793,882,400.10, 2,648,690,823,600.20 and 1,765,793,882,400.10

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Solution

The fourth proportional to 1,765,793,882,400.10, 2,648,690,823,600.20 and 1,765,793,882,400.10 is: 2,648,690,823,600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,793,882,400.10 : 2,648,690,823,600.20 = 1,765,793,882,400.10 : x
  2. Step 2: Convert to fraction form
    1,765,793,882,400.10/2,648,690,823,600.20 = 1,765,793,882,400.10/x
  3. Step 3: Cross multiply
    1,765,793,882,400.10x = 2,648,690,823,600.20 × 1,765,793,882,400.10
  4. Step 4: Simplify right side
    1,765,793,882,400.10x = 4,677,042,052,682,516,208,287,744
  5. Step 5: Solve for x
    x = 4,677,042,052,682,516,208,287,744/1,765,793,882,400.10
  6. Step 6: Final answer
    x = 2,648,690,823,600.20

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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.