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Finding the Fourth Proportional to 27,188,214,666.90, 40,782,322,000.35 and 27,188,214,666.90

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Solution

The fourth proportional to 27,188,214,666.90, 40,782,322,000.35 and 27,188,214,666.90 is: 40,782,322,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188,214,666.90 : 40,782,322,000.35 = 27,188,214,666.90 : x
  2. Step 2: Convert to fraction form
    27,188,214,666.90/40,782,322,000.35 = 27,188,214,666.90/x
  3. Step 3: Cross multiply
    27,188,214,666.90x = 40,782,322,000.35 × 27,188,214,666.90
  4. Step 4: Simplify right side
    27,188,214,666.90x = 1,108,798,525,160,154,464,256
  5. Step 5: Solve for x
    x = 1,108,798,525,160,154,464,256/27,188,214,666.90
  6. Step 6: Final answer
    x = 40,782,322,000.35

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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.