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Finding the Fourth Proportional to 164,339,876,777.40, 246,509,815,166.10 and 164,339,876,777.40

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Solution

The fourth proportional to 164,339,876,777.40, 246,509,815,166.10 and 164,339,876,777.40 is: 246,509,815,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,339,876,777.40 : 246,509,815,166.10 = 164,339,876,777.40 : x
  2. Step 2: Convert to fraction form
    164,339,876,777.40/246,509,815,166.10 = 164,339,876,777.40/x
  3. Step 3: Cross multiply
    164,339,876,777.40x = 246,509,815,166.10 × 164,339,876,777.40
  4. Step 4: Simplify right side
    164,339,876,777.40x = 40,511,392,648,816,524,001,280
  5. Step 5: Solve for x
    x = 40,511,392,648,816,524,001,280/164,339,876,777.40
  6. Step 6: Final answer
    x = 246,509,815,166.10

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1.5x scale

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.