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Finding the Fourth Proportional to 2,404,282,269,123, 3,606,423,403,684.80 and 2,404,282,269,123

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Solution

The fourth proportional to 2,404,282,269,123, 3,606,423,403,684.80 and 2,404,282,269,123 is: 3,606,423,403,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404,282,269,123 : 3,606,423,403,684.80 = 2,404,282,269,123 : x
  2. Step 2: Convert to fraction form
    2,404,282,269,123/3,606,423,403,684.80 = 2,404,282,269,123/x
  3. Step 3: Cross multiply
    2,404,282,269,123x = 3,606,423,403,684.80 × 2,404,282,269,123
  4. Step 4: Simplify right side
    2,404,282,269,123x = 8,670,859,844,429,583,271,067,648
  5. Step 5: Solve for x
    x = 8,670,859,844,429,583,271,067,648/2,404,282,269,123
  6. Step 6: Final answer
    x = 3,606,423,403,684.80

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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.