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Finding the Fourth Proportional to 207,286,929,849.80, 310,930,394,774.70 and 207,286,929,849.80

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Solution

The fourth proportional to 207,286,929,849.80, 310,930,394,774.70 and 207,286,929,849.80 is: 310,930,394,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,286,929,849.80 : 310,930,394,774.70 = 207,286,929,849.80 : x
  2. Step 2: Convert to fraction form
    207,286,929,849.80/310,930,394,774.70 = 207,286,929,849.80/x
  3. Step 3: Cross multiply
    207,286,929,849.80x = 310,930,394,774.70 × 207,286,929,849.80
  4. Step 4: Simplify right side
    207,286,929,849.80x = 64,451,806,929,833,858,957,312
  5. Step 5: Solve for x
    x = 64,451,806,929,833,858,957,312/207,286,929,849.80
  6. Step 6: Final answer
    x = 310,930,394,774.70

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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.