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Finding the Fourth Proportional to 129,361,566,137.80, 194,042,349,206.70 and 129,361,566,137.80

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Solution

The fourth proportional to 129,361,566,137.80, 194,042,349,206.70 and 129,361,566,137.80 is: 194,042,349,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,361,566,137.80 : 194,042,349,206.70 = 129,361,566,137.80 : x
  2. Step 2: Convert to fraction form
    129,361,566,137.80/194,042,349,206.70 = 129,361,566,137.80/x
  3. Step 3: Cross multiply
    129,361,566,137.80x = 194,042,349,206.70 × 129,361,566,137.80
  4. Step 4: Simplify right side
    129,361,566,137.80x = 25,101,622,190,436,608,114,688
  5. Step 5: Solve for x
    x = 25,101,622,190,436,608,114,688/129,361,566,137.80
  6. Step 6: Final answer
    x = 194,042,349,206.70

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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.