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Finding the Fourth Proportional to 206,855,532,140.20, 310,283,298,210.30 and 206,855,532,140.20

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Solution

The fourth proportional to 206,855,532,140.20, 310,283,298,210.30 and 206,855,532,140.20 is: 310,283,298,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,855,532,140.20 : 310,283,298,210.30 = 206,855,532,140.20 : x
  2. Step 2: Convert to fraction form
    206,855,532,140.20/310,283,298,210.30 = 206,855,532,140.20/x
  3. Step 3: Cross multiply
    206,855,532,140.20x = 310,283,298,210.30 × 206,855,532,140.20
  4. Step 4: Simplify right side
    206,855,532,140.20x = 64,183,816,765,507,972,890,624
  5. Step 5: Solve for x
    x = 64,183,816,765,507,972,890,624/206,855,532,140.20
  6. Step 6: Final answer
    x = 310,283,298,210.30

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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.