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Finding the Fourth Proportional to 3,305,280,416.05, 4,957,920,624.08 and 3,305,280,416.05

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Solution

The fourth proportional to 3,305,280,416.05, 4,957,920,624.08 and 3,305,280,416.05 is: 4,957,920,624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305,280,416.05 : 4,957,920,624.08 = 3,305,280,416.05 : x
  2. Step 2: Convert to fraction form
    3,305,280,416.05/4,957,920,624.08 = 3,305,280,416.05/x
  3. Step 3: Cross multiply
    3,305,280,416.05x = 4,957,920,624.08 × 3,305,280,416.05
  4. Step 4: Simplify right side
    3,305,280,416.05x = 16,387,317,943,102,019,584
  5. Step 5: Solve for x
    x = 16,387,317,943,102,019,584/3,305,280,416.05
  6. Step 6: Final answer
    x = 4,957,920,624.08

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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.