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Finding the Fourth Proportional to 7,189,449,817.60, 10,768,050,412.80 and 7,189,449,817.60

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Solution

The fourth proportional to 7,189,449,817.60, 10,768,050,412.80 and 7,189,449,817.60 is: 10,768,050,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189,449,817.60 : 10,768,050,412.80 = 7,189,449,817.60 : x
  2. Step 2: Convert to fraction form
    7,189,449,817.60/10,768,050,412.80 = 7,189,449,817.60/x
  3. Step 3: Cross multiply
    7,189,449,817.60x = 10,768,050,412.80 × 7,189,449,817.60
  4. Step 4: Simplify right side
    7,189,449,817.60x = 77,416,358,076,212,559,872
  5. Step 5: Solve for x
    x = 77,416,358,076,212,559,872/7,189,449,817.60
  6. Step 6: Final answer
    x = 10,768,050,412.80

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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.