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Finding the Fourth Proportional to 272,629,243,609.80, 408,943,865,414.70 and 272,629,243,609.80

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Solution

The fourth proportional to 272,629,243,609.80, 408,943,865,414.70 and 272,629,243,609.80 is: 408,943,865,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,629,243,609.80 : 408,943,865,414.70 = 272,629,243,609.80 : x
  2. Step 2: Convert to fraction form
    272,629,243,609.80/408,943,865,414.70 = 272,629,243,609.80/x
  3. Step 3: Cross multiply
    272,629,243,609.80x = 408,943,865,414.70 × 272,629,243,609.80
  4. Step 4: Simplify right side
    272,629,243,609.80x = 111,490,056,706,877,508,550,656
  5. Step 5: Solve for x
    x = 111,490,056,706,877,508,550,656/272,629,243,609.80
  6. Step 6: Final answer
    x = 408,943,865,414.70

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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.