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Finding the Fourth Proportional to 99,007,796,500.20, 148,511,694,750.30 and 99,007,796,500.20

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Solution

The fourth proportional to 99,007,796,500.20, 148,511,694,750.30 and 99,007,796,500.20 is: 148,511,694,750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,007,796,500.20 : 148,511,694,750.30 = 99,007,796,500.20 : x
  2. Step 2: Convert to fraction form
    99,007,796,500.20/148,511,694,750.30 = 99,007,796,500.20/x
  3. Step 3: Cross multiply
    99,007,796,500.20x = 148,511,694,750.30 × 99,007,796,500.20
  4. Step 4: Simplify right side
    99,007,796,500.20x = 14,703,815,651,737,521,356,800
  5. Step 5: Solve for x
    x = 14,703,815,651,737,521,356,800/99,007,796,500.20
  6. Step 6: Final answer
    x = 148,511,694,750.30

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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.