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Finding the Fourth Proportional to 1,965,365,842,302.10, 2,948,048,763,453.20 and 1,965,365,842,302.10

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Solution

The fourth proportional to 1,965,365,842,302.10, 2,948,048,763,453.20 and 1,965,365,842,302.10 is: 2,948,048,763,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,365,842,302.10 : 2,948,048,763,453.20 = 1,965,365,842,302.10 : x
  2. Step 2: Convert to fraction form
    1,965,365,842,302.10/2,948,048,763,453.20 = 1,965,365,842,302.10/x
  3. Step 3: Cross multiply
    1,965,365,842,302.10x = 2,948,048,763,453.20 × 1,965,365,842,302.10
  4. Step 4: Simplify right side
    1,965,365,842,302.10x = 5,793,994,341,131,863,258,562,560
  5. Step 5: Solve for x
    x = 5,793,994,341,131,863,258,562,560/1,965,365,842,302.10
  6. Step 6: Final answer
    x = 2,948,048,763,453.20

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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.