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Finding the Fourth Proportional to 605,736,505.30, 908,604,757.95 and 460,617,682.90

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Solution

The fourth proportional to 605,736,505.30, 908,604,757.95 and 460,617,682.90 is: 690,926,524.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,736,505.30 : 908,604,757.95 = 460,617,682.90 : x
  2. Step 2: Convert to fraction form
    605,736,505.30/908,604,757.95 = 460,617,682.90/x
  3. Step 3: Cross multiply
    605,736,505.30x = 908,604,757.95 × 460,617,682.90
  4. Step 4: Simplify right side
    605,736,505.30x = 418,519,418,278,844,352
  5. Step 5: Solve for x
    x = 418,519,418,278,844,352/605,736,505.30
  6. Step 6: Final answer
    x = 690,926,524.35

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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.