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Finding the Fourth Proportional to 710,633,270.20, 1,065,949,905.30 and 710,633,270.20

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Solution

The fourth proportional to 710,633,270.20, 1,065,949,905.30 and 710,633,270.20 is: 1,065,949,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,633,270.20 : 1,065,949,905.30 = 710,633,270.20 : x
  2. Step 2: Convert to fraction form
    710,633,270.20/1,065,949,905.30 = 710,633,270.20/x
  3. Step 3: Cross multiply
    710,633,270.20x = 1,065,949,905.30 × 710,633,270.20
  4. Step 4: Simplify right side
    710,633,270.20x = 757,499,467,072,719,360
  5. Step 5: Solve for x
    x = 757,499,467,072,719,360/710,633,270.20
  6. Step 6: Final answer
    x = 1,065,949,905.30

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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.