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Finding the Fourth Proportional to 1,805,613,077.10, 2,708,419,615.65 and 1,805,613,077.10

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Solution

The fourth proportional to 1,805,613,077.10, 2,708,419,615.65 and 1,805,613,077.10 is: 2,708,419,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805,613,077.10 : 2,708,419,615.65 = 1,805,613,077.10 : x
  2. Step 2: Convert to fraction form
    1,805,613,077.10/2,708,419,615.65 = 1,805,613,077.10/x
  3. Step 3: Cross multiply
    1,805,613,077.10x = 2,708,419,615.65 × 1,805,613,077.10
  4. Step 4: Simplify right side
    1,805,613,077.10x = 4,890,357,876,291,795,968
  5. Step 5: Solve for x
    x = 4,890,357,876,291,795,968/1,805,613,077.10
  6. Step 6: Final answer
    x = 2,708,419,615.65

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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.