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Finding the Fourth Proportional to 180,428,394.85, 270,642,592.28 and 180,428,394.85

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Solution

The fourth proportional to 180,428,394.85, 270,642,592.28 and 180,428,394.85 is: 270,642,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,428,394.85 : 270,642,592.28 = 180,428,394.85 : x
  2. Step 2: Convert to fraction form
    180,428,394.85/270,642,592.28 = 180,428,394.85/x
  3. Step 3: Cross multiply
    180,428,394.85x = 270,642,592.28 × 180,428,394.85
  4. Step 4: Simplify right side
    180,428,394.85x = 48,831,608,502,221,256
  5. Step 5: Solve for x
    x = 48,831,608,502,221,256/180,428,394.85
  6. Step 6: Final answer
    x = 270,642,592.28

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1.5x scale

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.