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Finding the Fourth Proportional to 27,400,921,567.30, 38,278,640,489.90 and 27,400,921,567.30

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Solution

The fourth proportional to 27,400,921,567.30, 38,278,640,489.90 and 27,400,921,567.30 is: 38,278,640,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,400,921,567.30 : 38,278,640,489.90 = 27,400,921,567.30 : x
  2. Step 2: Convert to fraction form
    27,400,921,567.30/38,278,640,489.90 = 27,400,921,567.30/x
  3. Step 3: Cross multiply
    27,400,921,567.30x = 38,278,640,489.90 × 27,400,921,567.30
  4. Step 4: Simplify right side
    27,400,921,567.30x = 1,048,870,025,766,623,903,744
  5. Step 5: Solve for x
    x = 1,048,870,025,766,623,903,744/27,400,921,567.30
  6. Step 6: Final answer
    x = 38,278,640,489.90

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1.5x scale

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.