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Finding the Fourth Proportional to 539,462,409.60, 809,193,614.40 and 539,462,409.60

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Solution

The fourth proportional to 539,462,409.60, 809,193,614.40 and 539,462,409.60 is: 809,193,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,462,409.60 : 809,193,614.40 = 539,462,409.60 : x
  2. Step 2: Convert to fraction form
    539,462,409.60/809,193,614.40 = 539,462,409.60/x
  3. Step 3: Cross multiply
    539,462,409.60x = 809,193,614.40 × 539,462,409.60
  4. Step 4: Simplify right side
    539,462,409.60x = 436,529,537,057,157,248
  5. Step 5: Solve for x
    x = 436,529,537,057,157,248/539,462,409.60
  6. Step 6: Final answer
    x = 809,193,614.40

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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.