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Finding the Fourth Proportional to 713,123,999.20, 1,069,685,998.80 and 713,123,999.20

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Solution

The fourth proportional to 713,123,999.20, 1,069,685,998.80 and 713,123,999.20 is: 1,069,685,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,123,999.20 : 1,069,685,998.80 = 713,123,999.20 : x
  2. Step 2: Convert to fraction form
    713,123,999.20/1,069,685,998.80 = 713,123,999.20/x
  3. Step 3: Cross multiply
    713,123,999.20x = 1,069,685,998.80 × 713,123,999.20
  4. Step 4: Simplify right side
    713,123,999.20x = 762,818,757,352,502,400
  5. Step 5: Solve for x
    x = 762,818,757,352,502,400/713,123,999.20
  6. Step 6: Final answer
    x = 1,069,685,998.80

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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.