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Finding the Fourth Proportional to 412,920,872,880.45, 619,381,309,320.68 and 412,920,872,880.45

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Solution

The fourth proportional to 412,920,872,880.45, 619,381,309,320.68 and 412,920,872,880.45 is: 619,381,309,320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,920,872,880.45 : 619,381,309,320.68 = 412,920,872,880.45 : x
  2. Step 2: Convert to fraction form
    412,920,872,880.45/619,381,309,320.68 = 412,920,872,880.45/x
  3. Step 3: Cross multiply
    412,920,872,880.45x = 619,381,309,320.68 × 412,920,872,880.45
  4. Step 4: Simplify right side
    412,920,872,880.45x = 255,755,470,890,531,207,249,920
  5. Step 5: Solve for x
    x = 255,755,470,890,531,207,249,920/412,920,872,880.45
  6. Step 6: Final answer
    x = 619,381,309,320.68

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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.