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Finding the Fourth Proportional to 400,536,595,903.20, 600,804,893,854.80 and 400,536,595,903.20

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Solution

The fourth proportional to 400,536,595,903.20, 600,804,893,854.80 and 400,536,595,903.20 is: 600,804,893,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,536,595,903.20 : 600,804,893,854.80 = 400,536,595,903.20 : x
  2. Step 2: Convert to fraction form
    400,536,595,903.20/600,804,893,854.80 = 400,536,595,903.20/x
  3. Step 3: Cross multiply
    400,536,595,903.20x = 600,804,893,854.80 × 400,536,595,903.20
  4. Step 4: Simplify right side
    400,536,595,903.20x = 240,644,346,986,585,028,296,704
  5. Step 5: Solve for x
    x = 240,644,346,986,585,028,296,704/400,536,595,903.20
  6. Step 6: Final answer
    x = 600,804,893,854.80

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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.