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Finding the Fourth Proportional to 106,954,278.45, 160,431,417.68 and 106,954,278.45

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Solution

The fourth proportional to 106,954,278.45, 160,431,417.68 and 106,954,278.45 is: 160,431,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,954,278.45 : 160,431,417.68 = 106,954,278.45 : x
  2. Step 2: Convert to fraction form
    106,954,278.45/160,431,417.68 = 106,954,278.45/x
  3. Step 3: Cross multiply
    106,954,278.45x = 160,431,417.68 × 106,954,278.45
  4. Step 4: Simplify right side
    106,954,278.45x = 17,158,826,518,140,204
  5. Step 5: Solve for x
    x = 17,158,826,518,140,204/106,954,278.45
  6. Step 6: Final answer
    x = 160,431,417.68

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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.