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Finding the Fourth Proportional to 1,569,594,562,107, 2,354,391,843,160.50 and 1,569,594,562,107

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Solution

The fourth proportional to 1,569,594,562,107, 2,354,391,843,160.50 and 1,569,594,562,107 is: 2,354,391,843,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,594,562,107 : 2,354,391,843,160.50 = 1,569,594,562,107 : x
  2. Step 2: Convert to fraction form
    1,569,594,562,107/2,354,391,843,160.50 = 1,569,594,562,107/x
  3. Step 3: Cross multiply
    1,569,594,562,107x = 2,354,391,843,160.50 × 1,569,594,562,107
  4. Step 4: Simplify right side
    1,569,594,562,107x = 3,695,440,634,093,797,541,675,008
  5. Step 5: Solve for x
    x = 3,695,440,634,093,797,541,675,008/1,569,594,562,107
  6. Step 6: Final answer
    x = 2,354,391,843,160.50

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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.