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Finding the Fourth Proportional to 377,176,372,620.30, 565,764,558,930.45 and 377,176,372,620.30

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Solution

The fourth proportional to 377,176,372,620.30, 565,764,558,930.45 and 377,176,372,620.30 is: 565,764,558,930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,176,372,620.30 : 565,764,558,930.45 = 377,176,372,620.30 : x
  2. Step 2: Convert to fraction form
    377,176,372,620.30/565,764,558,930.45 = 377,176,372,620.30/x
  3. Step 3: Cross multiply
    377,176,372,620.30x = 565,764,558,930.45 × 377,176,372,620.30
  4. Step 4: Simplify right side
    377,176,372,620.30x = 213,393,024,094,511,053,144,064
  5. Step 5: Solve for x
    x = 213,393,024,094,511,053,144,064/377,176,372,620.30
  6. Step 6: Final answer
    x = 565,764,558,930.45

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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.