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Finding the Fourth Proportional to 133,877,205,674.80, 200,815,808,512.20 and 133,877,205,674.80

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Solution

The fourth proportional to 133,877,205,674.80, 200,815,808,512.20 and 133,877,205,674.80 is: 200,815,808,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,877,205,674.80 : 200,815,808,512.20 = 133,877,205,674.80 : x
  2. Step 2: Convert to fraction form
    133,877,205,674.80/200,815,808,512.20 = 133,877,205,674.80/x
  3. Step 3: Cross multiply
    133,877,205,674.80x = 200,815,808,512.20 × 133,877,205,674.80
  4. Step 4: Simplify right side
    133,877,205,674.80x = 26,884,659,298,939,055,374,336
  5. Step 5: Solve for x
    x = 26,884,659,298,939,055,374,336/133,877,205,674.80
  6. Step 6: Final answer
    x = 200,815,808,512.20

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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.