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Finding the Fourth Proportional to 313,248,077.20, 469,872,115.80 and 313,248,077.20

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Solution

The fourth proportional to 313,248,077.20, 469,872,115.80 and 313,248,077.20 is: 469,872,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,248,077.20 : 469,872,115.80 = 313,248,077.20 : x
  2. Step 2: Convert to fraction form
    313,248,077.20/469,872,115.80 = 313,248,077.20/x
  3. Step 3: Cross multiply
    313,248,077.20x = 469,872,115.80 × 313,248,077.20
  4. Step 4: Simplify right side
    313,248,077.20x = 147,186,536,804,245,728
  5. Step 5: Solve for x
    x = 147,186,536,804,245,728/313,248,077.20
  6. Step 6: Final answer
    x = 469,872,115.80

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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.