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Finding the Fourth Proportional to 2,126,140,829.80, 3,189,211,244.70 and 2,126,140,829.80

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Solution

The fourth proportional to 2,126,140,829.80, 3,189,211,244.70 and 2,126,140,829.80 is: 3,189,211,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126,140,829.80 : 3,189,211,244.70 = 2,126,140,829.80 : x
  2. Step 2: Convert to fraction form
    2,126,140,829.80/3,189,211,244.70 = 2,126,140,829.80/x
  3. Step 3: Cross multiply
    2,126,140,829.80x = 3,189,211,244.70 × 2,126,140,829.80
  4. Step 4: Simplify right side
    2,126,140,829.80x = 6,780,712,242,213,948,416
  5. Step 5: Solve for x
    x = 6,780,712,242,213,948,416/2,126,140,829.80
  6. Step 6: Final answer
    x = 3,189,211,244.70

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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.