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Finding the Fourth Proportional to 1,223,097,788.80, 1,717,174,198.40 and 1,223,097,788.80

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Solution

The fourth proportional to 1,223,097,788.80, 1,717,174,198.40 and 1,223,097,788.80 is: 1,717,174,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,097,788.80 : 1,717,174,198.40 = 1,223,097,788.80 : x
  2. Step 2: Convert to fraction form
    1,223,097,788.80/1,717,174,198.40 = 1,223,097,788.80/x
  3. Step 3: Cross multiply
    1,223,097,788.80x = 1,717,174,198.40 × 1,223,097,788.80
  4. Step 4: Simplify right side
    1,223,097,788.80x = 2,100,271,965,047,452,416
  5. Step 5: Solve for x
    x = 2,100,271,965,047,452,416/1,223,097,788.80
  6. Step 6: Final answer
    x = 1,717,174,198.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.