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Finding the Fourth Proportional to 377,008,182,015.70, 565,512,273,023.55 and 377,008,182,015.70

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Solution

The fourth proportional to 377,008,182,015.70, 565,512,273,023.55 and 377,008,182,015.70 is: 565,512,273,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,008,182,015.70 : 565,512,273,023.55 = 377,008,182,015.70 : x
  2. Step 2: Convert to fraction form
    377,008,182,015.70/565,512,273,023.55 = 377,008,182,015.70/x
  3. Step 3: Cross multiply
    377,008,182,015.70x = 565,512,273,023.55 × 377,008,182,015.70
  4. Step 4: Simplify right side
    377,008,182,015.70x = 213,202,753,960,174,803,746,816
  5. Step 5: Solve for x
    x = 213,202,753,960,174,803,746,816/377,008,182,015.70
  6. Step 6: Final answer
    x = 565,512,273,023.55

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1.5x scale

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.