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Finding the Fourth Proportional to 245,584,828,480.80, 368,377,242,721.20 and 245,584,828,480.80

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Solution

The fourth proportional to 245,584,828,480.80, 368,377,242,721.20 and 245,584,828,480.80 is: 368,377,242,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,584,828,480.80 : 368,377,242,721.20 = 245,584,828,480.80 : x
  2. Step 2: Convert to fraction form
    245,584,828,480.80/368,377,242,721.20 = 245,584,828,480.80/x
  3. Step 3: Cross multiply
    245,584,828,480.80x = 368,377,242,721.20 × 245,584,828,480.80
  4. Step 4: Simplify right side
    245,584,828,480.80x = 90,467,861,969,915,934,146,560
  5. Step 5: Solve for x
    x = 90,467,861,969,915,934,146,560/245,584,828,480.80
  6. Step 6: Final answer
    x = 368,377,242,721.20

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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.