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Finding the Fourth Proportional to 1,274,751,012.30, 1,909,103,209.65 and 1,274,751,012.30

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Solution

The fourth proportional to 1,274,751,012.30, 1,909,103,209.65 and 1,274,751,012.30 is: 1,909,103,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274,751,012.30 : 1,909,103,209.65 = 1,274,751,012.30 : x
  2. Step 2: Convert to fraction form
    1,274,751,012.30/1,909,103,209.65 = 1,274,751,012.30/x
  3. Step 3: Cross multiply
    1,274,751,012.30x = 1,909,103,209.65 × 1,274,751,012.30
  4. Step 4: Simplify right side
    1,274,751,012.30x = 2,433,631,249,086,516,736
  5. Step 5: Solve for x
    x = 2,433,631,249,086,516,736/1,274,751,012.30
  6. Step 6: Final answer
    x = 1,909,103,209.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.