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Finding the Fourth Proportional to 701,402,287.30, 984,113,110.70 and 701,402,287.30

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Solution

The fourth proportional to 701,402,287.30, 984,113,110.70 and 701,402,287.30 is: 984,113,110.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,402,287.30 : 984,113,110.70 = 701,402,287.30 : x
  2. Step 2: Convert to fraction form
    701,402,287.30/984,113,110.70 = 701,402,287.30/x
  3. Step 3: Cross multiply
    701,402,287.30x = 984,113,110.70 × 701,402,287.30
  4. Step 4: Simplify right side
    701,402,287.30x = 690,259,186,806,898,048
  5. Step 5: Solve for x
    x = 690,259,186,806,898,048/701,402,287.30
  6. Step 6: Final answer
    x = 984,113,110.70

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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.