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Finding the Fourth Proportional to 298,387,722,000.40, 447,581,583,000.60 and 298,387,722,000.40

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Solution

The fourth proportional to 298,387,722,000.40, 447,581,583,000.60 and 298,387,722,000.40 is: 447,581,583,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,387,722,000.40 : 447,581,583,000.60 = 298,387,722,000.40 : x
  2. Step 2: Convert to fraction form
    298,387,722,000.40/447,581,583,000.60 = 298,387,722,000.40/x
  3. Step 3: Cross multiply
    298,387,722,000.40x = 447,581,583,000.60 × 298,387,722,000.40
  4. Step 4: Simplify right side
    298,387,722,000.40x = 133,552,848,960,881,990,565,888
  5. Step 5: Solve for x
    x = 133,552,848,960,881,990,565,888/298,387,722,000.40
  6. Step 6: Final answer
    x = 447,581,583,000.60

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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.