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Finding the Fourth Proportional to 520,016,544,008.80, 780,024,816,013.20 and 520,016,544,008.80

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Solution

The fourth proportional to 520,016,544,008.80, 780,024,816,013.20 and 520,016,544,008.80 is: 780,024,816,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,016,544,008.80 : 780,024,816,013.20 = 520,016,544,008.80 : x
  2. Step 2: Convert to fraction form
    520,016,544,008.80/780,024,816,013.20 = 520,016,544,008.80/x
  3. Step 3: Cross multiply
    520,016,544,008.80x = 780,024,816,013.20 × 520,016,544,008.80
  4. Step 4: Simplify right side
    520,016,544,008.80x = 405,625,809,064,284,292,907,008
  5. Step 5: Solve for x
    x = 405,625,809,064,284,292,907,008/520,016,544,008.80
  6. Step 6: Final answer
    x = 780,024,816,013.20

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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.