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Finding the Fourth Proportional to 777,509,800.24, 1,166,264,700.36 and 777,509,800.24

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Solution

The fourth proportional to 777,509,800.24, 1,166,264,700.36 and 777,509,800.24 is: 1,166,264,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,509,800.24 : 1,166,264,700.36 = 777,509,800.24 : x
  2. Step 2: Convert to fraction form
    777,509,800.24/1,166,264,700.36 = 777,509,800.24/x
  3. Step 3: Cross multiply
    777,509,800.24x = 1,166,264,700.36 × 777,509,800.24
  4. Step 4: Simplify right side
    777,509,800.24x = 906,782,234,200,951,296
  5. Step 5: Solve for x
    x = 906,782,234,200,951,296/777,509,800.24
  6. Step 6: Final answer
    x = 1,166,264,700.36

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1.5x scale

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.