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Finding the Fourth Proportional to 198,989,736,089.80, 298,484,604,134.70 and 198,989,736,089.80

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Solution

The fourth proportional to 198,989,736,089.80, 298,484,604,134.70 and 198,989,736,089.80 is: 298,484,604,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,989,736,089.80 : 298,484,604,134.70 = 198,989,736,089.80 : x
  2. Step 2: Convert to fraction form
    198,989,736,089.80/298,484,604,134.70 = 198,989,736,089.80/x
  3. Step 3: Cross multiply
    198,989,736,089.80x = 298,484,604,134.70 × 198,989,736,089.80
  4. Step 4: Simplify right side
    198,989,736,089.80x = 59,395,372,603,632,376,610,816
  5. Step 5: Solve for x
    x = 59,395,372,603,632,376,610,816/198,989,736,089.80
  6. Step 6: Final answer
    x = 298,484,604,134.70

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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.