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Finding the Fourth Proportional to 412,920,872,662.07, 619,381,308,993.10 and 412,920,872,662.07

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Solution

The fourth proportional to 412,920,872,662.07, 619,381,308,993.10 and 412,920,872,662.07 is: 619,381,308,993.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,920,872,662.07 : 619,381,308,993.10 = 412,920,872,662.07 : x
  2. Step 2: Convert to fraction form
    412,920,872,662.07/619,381,308,993.10 = 412,920,872,662.07/x
  3. Step 3: Cross multiply
    412,920,872,662.07x = 619,381,308,993.10 × 412,920,872,662.07
  4. Step 4: Simplify right side
    412,920,872,662.07x = 255,755,470,620,006,081,888,256
  5. Step 5: Solve for x
    x = 255,755,470,620,006,081,888,256/412,920,872,662.07
  6. Step 6: Final answer
    x = 619,381,308,993.10

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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.