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Finding the Fourth Proportional to 777,509,743.80, 1,166,264,615.70 and 777,509,743.80

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Solution

The fourth proportional to 777,509,743.80, 1,166,264,615.70 and 777,509,743.80 is: 1,166,264,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,509,743.80 : 1,166,264,615.70 = 777,509,743.80 : x
  2. Step 2: Convert to fraction form
    777,509,743.80/1,166,264,615.70 = 777,509,743.80/x
  3. Step 3: Cross multiply
    777,509,743.80x = 1,166,264,615.70 × 777,509,743.80
  4. Step 4: Simplify right side
    777,509,743.80x = 906,782,102,555,912,448
  5. Step 5: Solve for x
    x = 906,782,102,555,912,448/777,509,743.80
  6. Step 6: Final answer
    x = 1,166,264,615.70

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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.