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Finding the Fourth Proportional to 746,670,694.10, 1,042,920,324.70 and 746,670,694.10

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Solution

The fourth proportional to 746,670,694.10, 1,042,920,324.70 and 746,670,694.10 is: 1,042,920,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,670,694.10 : 1,042,920,324.70 = 746,670,694.10 : x
  2. Step 2: Convert to fraction form
    746,670,694.10/1,042,920,324.70 = 746,670,694.10/x
  3. Step 3: Cross multiply
    746,670,694.10x = 1,042,920,324.70 × 746,670,694.10
  4. Step 4: Simplify right side
    746,670,694.10x = 778,718,042,734,746,496
  5. Step 5: Solve for x
    x = 778,718,042,734,746,496/746,670,694.10
  6. Step 6: Final answer
    x = 1,042,920,324.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.