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Finding the Fourth Proportional to 998,071,377,000.15, 1,497,107,065,500.20 and 998,071,377,000.15

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Solution

The fourth proportional to 998,071,377,000.15, 1,497,107,065,500.20 and 998,071,377,000.15 is: 1,497,107,065,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,071,377,000.15 : 1,497,107,065,500.20 = 998,071,377,000.15 : x
  2. Step 2: Convert to fraction form
    998,071,377,000.15/1,497,107,065,500.20 = 998,071,377,000.15/x
  3. Step 3: Cross multiply
    998,071,377,000.15x = 1,497,107,065,500.20 × 998,071,377,000.15
  4. Step 4: Simplify right side
    998,071,377,000.15x = 1,494,219,710,380,438,357,803,008
  5. Step 5: Solve for x
    x = 1,494,219,710,380,438,357,803,008/998,071,377,000.15
  6. Step 6: Final answer
    x = 1,497,107,065,500.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.