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Finding the Fourth Proportional to 2,613,985,260.80, 3,668,762,665.60 and 2,613,985,260.80

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Solution

The fourth proportional to 2,613,985,260.80, 3,668,762,665.60 and 2,613,985,260.80 is: 3,668,762,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613,985,260.80 : 3,668,762,665.60 = 2,613,985,260.80 : x
  2. Step 2: Convert to fraction form
    2,613,985,260.80/3,668,762,665.60 = 2,613,985,260.80/x
  3. Step 3: Cross multiply
    2,613,985,260.80x = 3,668,762,665.60 × 2,613,985,260.80
  4. Step 4: Simplify right side
    2,613,985,260.80x = 9,590,091,533,251,719,168
  5. Step 5: Solve for x
    x = 9,590,091,533,251,719,168/2,613,985,260.80
  6. Step 6: Final answer
    x = 3,668,762,665.60

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