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Finding the Fourth Proportional to 3,298,055,200.05, 4,947,082,800.08 and 3,298,055,200.05

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Solution

The fourth proportional to 3,298,055,200.05, 4,947,082,800.08 and 3,298,055,200.05 is: 4,947,082,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298,055,200.05 : 4,947,082,800.08 = 3,298,055,200.05 : x
  2. Step 2: Convert to fraction form
    3,298,055,200.05/4,947,082,800.08 = 3,298,055,200.05/x
  3. Step 3: Cross multiply
    3,298,055,200.05x = 4,947,082,800.08 × 3,298,055,200.05
  4. Step 4: Simplify right side
    3,298,055,200.05x = 16,315,752,153,865,269,248
  5. Step 5: Solve for x
    x = 16,315,752,153,865,269,248/3,298,055,200.05
  6. Step 6: Final answer
    x = 4,947,082,800.08

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Double scale
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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.