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Finding the Fourth Proportional to 474,578,999.70, 664,864,095.90 and 474,578,999.70

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Solution

The fourth proportional to 474,578,999.70, 664,864,095.90 and 474,578,999.70 is: 664,864,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,578,999.70 : 664,864,095.90 = 474,578,999.70 : x
  2. Step 2: Convert to fraction form
    474,578,999.70/664,864,095.90 = 474,578,999.70/x
  3. Step 3: Cross multiply
    474,578,999.70x = 664,864,095.90 × 474,578,999.70
  4. Step 4: Simplify right side
    474,578,999.70x = 315,530,537,568,666,880
  5. Step 5: Solve for x
    x = 315,530,537,568,666,880/474,578,999.70
  6. Step 6: Final answer
    x = 664,864,095.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.