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Finding the Fourth Proportional to 465,065,060,520.45, 697,597,590,780.68 and 465,065,060,520.45

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Solution

The fourth proportional to 465,065,060,520.45, 697,597,590,780.68 and 465,065,060,520.45 is: 697,597,590,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,065,060,520.45 : 697,597,590,780.68 = 465,065,060,520.45 : x
  2. Step 2: Convert to fraction form
    465,065,060,520.45/697,597,590,780.68 = 465,065,060,520.45/x
  3. Step 3: Cross multiply
    465,065,060,520.45x = 697,597,590,780.68 × 465,065,060,520.45
  4. Step 4: Simplify right side
    465,065,060,520.45x = 324,428,265,775,337,106,833,408
  5. Step 5: Solve for x
    x = 324,428,265,775,337,106,833,408/465,065,060,520.45
  6. Step 6: Final answer
    x = 697,597,590,780.68

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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.