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Finding the Fourth Proportional to 605,736,513.80, 908,604,770.70 and 460,617,691.40

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Solution

The fourth proportional to 605,736,513.80, 908,604,770.70 and 460,617,691.40 is: 690,926,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,736,513.80 : 908,604,770.70 = 460,617,691.40 : x
  2. Step 2: Convert to fraction form
    605,736,513.80/908,604,770.70 = 460,617,691.40/x
  3. Step 3: Cross multiply
    605,736,513.80x = 908,604,770.70 × 460,617,691.40
  4. Step 4: Simplify right side
    605,736,513.80x = 418,519,431,874,860,352
  5. Step 5: Solve for x
    x = 418,519,431,874,860,352/605,736,513.80
  6. Step 6: Final answer
    x = 690,926,537.10

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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.