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Finding the Fourth Proportional to 298,649,376,005.10, 447,974,064,007.64 and 298,649,376,005.10

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Solution

The fourth proportional to 298,649,376,005.10, 447,974,064,007.64 and 298,649,376,005.10 is: 447,974,064,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,649,376,005.10 : 447,974,064,007.64 = 298,649,376,005.10 : x
  2. Step 2: Convert to fraction form
    298,649,376,005.10/447,974,064,007.64 = 298,649,376,005.10/x
  3. Step 3: Cross multiply
    298,649,376,005.10x = 447,974,064,007.64 × 298,649,376,005.10
  4. Step 4: Simplify right side
    298,649,376,005.10x = 133,787,174,682,350,405,550,080
  5. Step 5: Solve for x
    x = 133,787,174,682,350,405,550,080/298,649,376,005.10
  6. Step 6: Final answer
    x = 447,974,064,007.64

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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.