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Finding the Fourth Proportional to 539,447,225.60, 809,170,838.40 and 539,447,225.60

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Solution

The fourth proportional to 539,447,225.60, 809,170,838.40 and 539,447,225.60 is: 809,170,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,447,225.60 : 809,170,838.40 = 539,447,225.60 : x
  2. Step 2: Convert to fraction form
    539,447,225.60/809,170,838.40 = 539,447,225.60/x
  3. Step 3: Cross multiply
    539,447,225.60x = 809,170,838.40 × 539,447,225.60
  4. Step 4: Simplify right side
    539,447,225.60x = 436,504,963,811,305,920
  5. Step 5: Solve for x
    x = 436,504,963,811,305,920/539,447,225.60
  6. Step 6: Final answer
    x = 809,170,838.40

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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.