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Finding the Fourth Proportional to 290,325,992.80, 436,137,795.60 and 242,550,248.80

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Solution

The fourth proportional to 290,325,992.80, 436,137,795.60 and 242,550,248.80 is: 364,367,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,325,992.80 : 436,137,795.60 = 242,550,248.80 : x
  2. Step 2: Convert to fraction form
    290,325,992.80/436,137,795.60 = 242,550,248.80/x
  3. Step 3: Cross multiply
    290,325,992.80x = 436,137,795.60 × 242,550,248.80
  4. Step 4: Simplify right side
    290,325,992.80x = 105,785,330,833,863,552
  5. Step 5: Solve for x
    x = 105,785,330,833,863,552/290,325,992.80
  6. Step 6: Final answer
    x = 364,367,412.69

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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.