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Finding the Fourth Proportional to 298,484,604,002.70, 447,726,906,004.06 and 298,484,604,002.70

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Solution

The fourth proportional to 298,484,604,002.70, 447,726,906,004.06 and 298,484,604,002.70 is: 447,726,906,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,484,604,002.70 : 447,726,906,004.06 = 298,484,604,002.70 : x
  2. Step 2: Convert to fraction form
    298,484,604,002.70/447,726,906,004.06 = 298,484,604,002.70/x
  3. Step 3: Cross multiply
    298,484,604,002.70x = 447,726,906,004.06 × 298,484,604,002.70
  4. Step 4: Simplify right side
    298,484,604,002.70x = 133,639,588,239,975,934,590,976
  5. Step 5: Solve for x
    x = 133,639,588,239,975,934,590,976/298,484,604,002.70
  6. Step 6: Final answer
    x = 447,726,906,004.06

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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.