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Finding the Fourth Proportional to 520,016,544,015.80, 780,024,816,023.70 and 520,016,544,015.80

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Solution

The fourth proportional to 520,016,544,015.80, 780,024,816,023.70 and 520,016,544,015.80 is: 780,024,816,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,016,544,015.80 : 780,024,816,023.70 = 520,016,544,015.80 : x
  2. Step 2: Convert to fraction form
    520,016,544,015.80/780,024,816,023.70 = 520,016,544,015.80/x
  3. Step 3: Cross multiply
    520,016,544,015.80x = 780,024,816,023.70 × 520,016,544,015.80
  4. Step 4: Simplify right side
    520,016,544,015.80x = 405,625,809,075,204,649,910,272
  5. Step 5: Solve for x
    x = 405,625,809,075,204,649,910,272/520,016,544,015.80
  6. Step 6: Final answer
    x = 780,024,816,023.70

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1.5x scale

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.