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Finding the Fourth Proportional to 377,176,372,360.80, 565,764,558,541.20 and 377,176,372,360.80

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Solution

The fourth proportional to 377,176,372,360.80, 565,764,558,541.20 and 377,176,372,360.80 is: 565,764,558,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,176,372,360.80 : 565,764,558,541.20 = 377,176,372,360.80 : x
  2. Step 2: Convert to fraction form
    377,176,372,360.80/565,764,558,541.20 = 377,176,372,360.80/x
  3. Step 3: Cross multiply
    377,176,372,360.80x = 565,764,558,541.20 × 377,176,372,360.80
  4. Step 4: Simplify right side
    377,176,372,360.80x = 213,393,023,800,879,272,165,376
  5. Step 5: Solve for x
    x = 213,393,023,800,879,272,165,376/377,176,372,360.80
  6. Step 6: Final answer
    x = 565,764,558,541.20

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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.