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Finding the Fourth Proportional to 298,998,210.30, 448,497,315.45 and 298,998,210.30

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Solution

The fourth proportional to 298,998,210.30, 448,497,315.45 and 298,998,210.30 is: 448,497,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,998,210.30 : 448,497,315.45 = 298,998,210.30 : x
  2. Step 2: Convert to fraction form
    298,998,210.30/448,497,315.45 = 298,998,210.30/x
  3. Step 3: Cross multiply
    298,998,210.30x = 448,497,315.45 × 298,998,210.30
  4. Step 4: Simplify right side
    298,998,210.30x = 134,099,894,643,904,544
  5. Step 5: Solve for x
    x = 134,099,894,643,904,544/298,998,210.30
  6. Step 6: Final answer
    x = 448,497,315.45

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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.