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Finding the Fourth Proportional to 109,594,953,648.60, 164,392,430,472.90 and 109,594,953,648.60

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Solution

The fourth proportional to 109,594,953,648.60, 164,392,430,472.90 and 109,594,953,648.60 is: 164,392,430,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,594,953,648.60 : 164,392,430,472.90 = 109,594,953,648.60 : x
  2. Step 2: Convert to fraction form
    109,594,953,648.60/164,392,430,472.90 = 109,594,953,648.60/x
  3. Step 3: Cross multiply
    109,594,953,648.60x = 164,392,430,472.90 × 109,594,953,648.60
  4. Step 4: Simplify right side
    109,594,953,648.60x = 18,016,580,797,858,173,681,664
  5. Step 5: Solve for x
    x = 18,016,580,797,858,173,681,664/109,594,953,648.60
  6. Step 6: Final answer
    x = 164,392,430,472.90

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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.