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Finding the Fourth Proportional to 520,016,652,043.80, 780,024,978,065.70 and 520,016,652,043.80

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Solution

The fourth proportional to 520,016,652,043.80, 780,024,978,065.70 and 520,016,652,043.80 is: 780,024,978,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,016,652,043.80 : 780,024,978,065.70 = 520,016,652,043.80 : x
  2. Step 2: Convert to fraction form
    520,016,652,043.80/780,024,978,065.70 = 520,016,652,043.80/x
  3. Step 3: Cross multiply
    520,016,652,043.80x = 780,024,978,065.70 × 520,016,652,043.80
  4. Step 4: Simplify right side
    520,016,652,043.80x = 405,625,977,604,263,783,694,336
  5. Step 5: Solve for x
    x = 405,625,977,604,263,783,694,336/520,016,652,043.80
  6. Step 6: Final answer
    x = 780,024,978,065.70

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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.