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Finding the Fourth Proportional to 689,805,281.80, 1,034,707,922.70 and 689,805,281.80

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Solution

The fourth proportional to 689,805,281.80, 1,034,707,922.70 and 689,805,281.80 is: 1,034,707,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,805,281.80 : 1,034,707,922.70 = 689,805,281.80 : x
  2. Step 2: Convert to fraction form
    689,805,281.80/1,034,707,922.70 = 689,805,281.80/x
  3. Step 3: Cross multiply
    689,805,281.80x = 1,034,707,922.70 × 689,805,281.80
  4. Step 4: Simplify right side
    689,805,281.80x = 713,746,990,198,766,080
  5. Step 5: Solve for x
    x = 713,746,990,198,766,080/689,805,281.80
  6. Step 6: Final answer
    x = 1,034,707,922.70

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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.