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Finding the Fourth Proportional to 605,736,408.30, 908,604,612.45 and 460,617,585.90

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Solution

The fourth proportional to 605,736,408.30, 908,604,612.45 and 460,617,585.90 is: 690,926,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,736,408.30 : 908,604,612.45 = 460,617,585.90 : x
  2. Step 2: Convert to fraction form
    605,736,408.30/908,604,612.45 = 460,617,585.90/x
  3. Step 3: Cross multiply
    605,736,408.30x = 908,604,612.45 × 460,617,585.90
  4. Step 4: Simplify right side
    605,736,408.30x = 418,519,263,124,324,096
  5. Step 5: Solve for x
    x = 418,519,263,124,324,096/605,736,408.30
  6. Step 6: Final answer
    x = 690,926,378.85

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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.