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Finding the Fourth Proportional to 527,626,752,003.20, 791,440,128,004.80 and 527,626,752,003.20

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Solution

The fourth proportional to 527,626,752,003.20, 791,440,128,004.80 and 527,626,752,003.20 is: 791,440,128,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,626,752,003.20 : 791,440,128,004.80 = 527,626,752,003.20 : x
  2. Step 2: Convert to fraction form
    527,626,752,003.20/791,440,128,004.80 = 527,626,752,003.20/x
  3. Step 3: Cross multiply
    527,626,752,003.20x = 791,440,128,004.80 × 527,626,752,003.20
  4. Step 4: Simplify right side
    527,626,752,003.20x = 417,584,984,144,169,540,780,032
  5. Step 5: Solve for x
    x = 417,584,984,144,169,540,780,032/527,626,752,003.20
  6. Step 6: Final answer
    x = 791,440,128,004.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.