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Finding the Fourth Proportional to 509,722,477.60, 703,235,620.56 and 300,774,048.16

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Solution

The fourth proportional to 509,722,477.60, 703,235,620.56 and 300,774,048.16 is: 414,961,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,722,477.60 : 703,235,620.56 = 300,774,048.16 : x
  2. Step 2: Convert to fraction form
    509,722,477.60/703,235,620.56 = 300,774,048.16/x
  3. Step 3: Cross multiply
    509,722,477.60x = 703,235,620.56 × 300,774,048.16
  4. Step 4: Simplify right side
    509,722,477.60x = 211,515,024,406,140,928
  5. Step 5: Solve for x
    x = 211,515,024,406,140,928/509,722,477.60
  6. Step 6: Final answer
    x = 414,961,147.88

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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.