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Finding the Fourth Proportional to 489,713,997.60, 734,570,996.40 and 489,713,997.60

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Solution

The fourth proportional to 489,713,997.60, 734,570,996.40 and 489,713,997.60 is: 734,570,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,713,997.60 : 734,570,996.40 = 489,713,997.60 : x
  2. Step 2: Convert to fraction form
    489,713,997.60/734,570,996.40 = 489,713,997.60/x
  3. Step 3: Cross multiply
    489,713,997.60x = 734,570,996.40 × 489,713,997.60
  4. Step 4: Simplify right side
    489,713,997.60x = 359,729,699,168,059,200
  5. Step 5: Solve for x
    x = 359,729,699,168,059,200/489,713,997.60
  6. Step 6: Final answer
    x = 734,570,996.40

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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.