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Finding the Fourth Proportional to 3,104,332,314.70, 4,656,498,472.05 and 3,104,332,314.70

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Solution

The fourth proportional to 3,104,332,314.70, 4,656,498,472.05 and 3,104,332,314.70 is: 4,656,498,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104,332,314.70 : 4,656,498,472.05 = 3,104,332,314.70 : x
  2. Step 2: Convert to fraction form
    3,104,332,314.70/4,656,498,472.05 = 3,104,332,314.70/x
  3. Step 3: Cross multiply
    3,104,332,314.70x = 4,656,498,472.05 × 3,104,332,314.70
  4. Step 4: Simplify right side
    3,104,332,314.70x = 14,455,318,680,135,989,248
  5. Step 5: Solve for x
    x = 14,455,318,680,135,989,248/3,104,332,314.70
  6. Step 6: Final answer
    x = 4,656,498,472.05

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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.