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Finding the Fourth Proportional to 193,091,129,609.60, 289,636,694,414.40 and 193,091,129,609.60

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Solution

The fourth proportional to 193,091,129,609.60, 289,636,694,414.40 and 193,091,129,609.60 is: 289,636,694,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,091,129,609.60 : 289,636,694,414.40 = 193,091,129,609.60 : x
  2. Step 2: Convert to fraction form
    193,091,129,609.60/289,636,694,414.40 = 193,091,129,609.60/x
  3. Step 3: Cross multiply
    193,091,129,609.60x = 289,636,694,414.40 × 193,091,129,609.60
  4. Step 4: Simplify right side
    193,091,129,609.60x = 55,926,276,500,867,021,537,280
  5. Step 5: Solve for x
    x = 55,926,276,500,867,021,537,280/193,091,129,609.60
  6. Step 6: Final answer
    x = 289,636,694,414.40

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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.