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Finding the Fourth Proportional to 1,569,594,562,105, 2,354,391,843,157.50 and 1,569,594,562,105

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Solution

The fourth proportional to 1,569,594,562,105, 2,354,391,843,157.50 and 1,569,594,562,105 is: 2,354,391,843,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,594,562,105 : 2,354,391,843,157.50 = 1,569,594,562,105 : x
  2. Step 2: Convert to fraction form
    1,569,594,562,105/2,354,391,843,157.50 = 1,569,594,562,105/x
  3. Step 3: Cross multiply
    1,569,594,562,105x = 2,354,391,843,157.50 × 1,569,594,562,105
  4. Step 4: Simplify right side
    1,569,594,562,105x = 3,695,440,634,084,380,289,007,616
  5. Step 5: Solve for x
    x = 3,695,440,634,084,380,289,007,616/1,569,594,562,105
  6. Step 6: Final answer
    x = 2,354,391,843,157.50

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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.