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Finding the Fourth Proportional to 405,598,412.60, 559,749,409.16 and 226,980,790.40

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Solution

The fourth proportional to 405,598,412.60, 559,749,409.16 and 226,980,790.40 is: 313,246,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,598,412.60 : 559,749,409.16 = 226,980,790.40 : x
  2. Step 2: Convert to fraction form
    405,598,412.60/559,749,409.16 = 226,980,790.40/x
  3. Step 3: Cross multiply
    405,598,412.60x = 559,749,409.16 × 226,980,790.40
  4. Step 4: Simplify right side
    405,598,412.60x = 127,052,363,317,334,272
  5. Step 5: Solve for x
    x = 127,052,363,317,334,272/405,598,412.60
  6. Step 6: Final answer
    x = 313,246,697.65

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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.