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Finding the Fourth Proportional to 298,963,223.10, 448,444,834.65 and 298,963,223.10

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Solution

The fourth proportional to 298,963,223.10, 448,444,834.65 and 298,963,223.10 is: 448,444,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,963,223.10 : 448,444,834.65 = 298,963,223.10 : x
  2. Step 2: Convert to fraction form
    298,963,223.10/448,444,834.65 = 298,963,223.10/x
  3. Step 3: Cross multiply
    298,963,223.10x = 448,444,834.65 × 298,963,223.10
  4. Step 4: Simplify right side
    298,963,223.10x = 134,068,513,149,510,560
  5. Step 5: Solve for x
    x = 134,068,513,149,510,560/298,963,223.10
  6. Step 6: Final answer
    x = 448,444,834.65

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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.