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Finding the Fourth Proportional to 768,734,128.68, 1,060,847,815.17 and 416,302,054.39

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Solution

The fourth proportional to 768,734,128.68, 1,060,847,815.17 and 416,302,054.39 is: 574,493,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,734,128.68 : 1,060,847,815.17 = 416,302,054.39 : x
  2. Step 2: Convert to fraction form
    768,734,128.68/1,060,847,815.17 = 416,302,054.39/x
  3. Step 3: Cross multiply
    768,734,128.68x = 1,060,847,815.17 × 416,302,054.39
  4. Step 4: Simplify right side
    768,734,128.68x = 441,633,124,850,413,952
  5. Step 5: Solve for x
    x = 441,633,124,850,413,952/768,734,128.68
  6. Step 6: Final answer
    x = 574,493,974.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.