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Finding the Fourth Proportional to 414,436,610.10, 621,654,915.15 and 414,436,610.10

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Solution

The fourth proportional to 414,436,610.10, 621,654,915.15 and 414,436,610.10 is: 621,654,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,436,610.10 : 621,654,915.15 = 414,436,610.10 : x
  2. Step 2: Convert to fraction form
    414,436,610.10/621,654,915.15 = 414,436,610.10/x
  3. Step 3: Cross multiply
    414,436,610.10x = 621,654,915.15 × 414,436,610.10
  4. Step 4: Simplify right side
    414,436,610.10x = 257,636,555,686,769,152
  5. Step 5: Solve for x
    x = 257,636,555,686,769,152/414,436,610.10
  6. Step 6: Final answer
    x = 621,654,915.15

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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.