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Finding the Fourth Proportional to 701,402,287.80, 984,113,111.40 and 701,402,287.80

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Solution

The fourth proportional to 701,402,287.80, 984,113,111.40 and 701,402,287.80 is: 984,113,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,402,287.80 : 984,113,111.40 = 701,402,287.80 : x
  2. Step 2: Convert to fraction form
    701,402,287.80/984,113,111.40 = 701,402,287.80/x
  3. Step 3: Cross multiply
    701,402,287.80x = 984,113,111.40 × 701,402,287.80
  4. Step 4: Simplify right side
    701,402,287.80x = 690,259,187,789,936,256
  5. Step 5: Solve for x
    x = 690,259,187,789,936,256/701,402,287.80
  6. Step 6: Final answer
    x = 984,113,111.40

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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.