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Finding the Fourth Proportional to 742,753,109.20, 1,114,129,663.80 and 742,753,109.20

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Solution

The fourth proportional to 742,753,109.20, 1,114,129,663.80 and 742,753,109.20 is: 1,114,129,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,753,109.20 : 1,114,129,663.80 = 742,753,109.20 : x
  2. Step 2: Convert to fraction form
    742,753,109.20/1,114,129,663.80 = 742,753,109.20/x
  3. Step 3: Cross multiply
    742,753,109.20x = 1,114,129,663.80 × 742,753,109.20
  4. Step 4: Simplify right side
    742,753,109.20x = 827,523,271,839,400,704
  5. Step 5: Solve for x
    x = 827,523,271,839,400,704/742,753,109.20
  6. Step 6: Final answer
    x = 1,114,129,663.80

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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.