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Finding the Fourth Proportional to 300,610,480,793.10, 450,915,721,189.65 and 300,610,480,793.10

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Solution

The fourth proportional to 300,610,480,793.10, 450,915,721,189.65 and 300,610,480,793.10 is: 450,915,721,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,610,480,793.10 : 450,915,721,189.65 = 300,610,480,793.10 : x
  2. Step 2: Convert to fraction form
    300,610,480,793.10/450,915,721,189.65 = 300,610,480,793.10/x
  3. Step 3: Cross multiply
    300,610,480,793.10x = 450,915,721,189.65 × 300,610,480,793.10
  4. Step 4: Simplify right side
    300,610,480,793.10x = 135,549,991,743,988,105,740,288
  5. Step 5: Solve for x
    x = 135,549,991,743,988,105,740,288/300,610,480,793.10
  6. Step 6: Final answer
    x = 450,915,721,189.65

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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.