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Finding the Fourth Proportional to 47,992,446,009.60, 67,024,125,004.80 and 47,992,446,009.60

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Solution

The fourth proportional to 47,992,446,009.60, 67,024,125,004.80 and 47,992,446,009.60 is: 67,024,125,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,992,446,009.60 : 67,024,125,004.80 = 47,992,446,009.60 : x
  2. Step 2: Convert to fraction form
    47,992,446,009.60/67,024,125,004.80 = 47,992,446,009.60/x
  3. Step 3: Cross multiply
    47,992,446,009.60x = 67,024,125,004.80 × 47,992,446,009.60
  4. Step 4: Simplify right side
    47,992,446,009.60x = 3,216,651,700,633,545,474,048
  5. Step 5: Solve for x
    x = 3,216,651,700,633,545,474,048/47,992,446,009.60
  6. Step 6: Final answer
    x = 67,024,125,004.80

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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.