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Finding the Fourth Proportional to 708,589,021.80, 989,728,805.40 and 708,589,021.80

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Solution

The fourth proportional to 708,589,021.80, 989,728,805.40 and 708,589,021.80 is: 989,728,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,589,021.80 : 989,728,805.40 = 708,589,021.80 : x
  2. Step 2: Convert to fraction form
    708,589,021.80/989,728,805.40 = 708,589,021.80/x
  3. Step 3: Cross multiply
    708,589,021.80x = 989,728,805.40 × 708,589,021.80
  4. Step 4: Simplify right side
    708,589,021.80x = 701,310,966,065,668,480
  5. Step 5: Solve for x
    x = 701,310,966,065,668,480/708,589,021.80
  6. Step 6: Final answer
    x = 989,728,805.40

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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.