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Finding the Fourth Proportional to 7,338,532,320.80, 10,302,969,013.60 and 7,338,532,320.80

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Solution

The fourth proportional to 7,338,532,320.80, 10,302,969,013.60 and 7,338,532,320.80 is: 10,302,969,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338,532,320.80 : 10,302,969,013.60 = 7,338,532,320.80 : x
  2. Step 2: Convert to fraction form
    7,338,532,320.80/10,302,969,013.60 = 7,338,532,320.80/x
  3. Step 3: Cross multiply
    7,338,532,320.80x = 10,302,969,013.60 × 7,338,532,320.80
  4. Step 4: Simplify right side
    7,338,532,320.80x = 75,608,671,106,504,507,392
  5. Step 5: Solve for x
    x = 75,608,671,106,504,507,392/7,338,532,320.80
  6. Step 6: Final answer
    x = 10,302,969,013.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.