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Finding the Fourth Proportional to 264,516,192,023.40, 396,774,288,035.10 and 264,516,192,023.40

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Solution

The fourth proportional to 264,516,192,023.40, 396,774,288,035.10 and 264,516,192,023.40 is: 396,774,288,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,516,192,023.40 : 396,774,288,035.10 = 264,516,192,023.40 : x
  2. Step 2: Convert to fraction form
    264,516,192,023.40/396,774,288,035.10 = 264,516,192,023.40/x
  3. Step 3: Cross multiply
    264,516,192,023.40x = 396,774,288,035.10 × 264,516,192,023.40
  4. Step 4: Simplify right side
    264,516,192,023.40x = 104,953,223,763,840,318,046,208
  5. Step 5: Solve for x
    x = 104,953,223,763,840,318,046,208/264,516,192,023.40
  6. Step 6: Final answer
    x = 396,774,288,035.10

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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.