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Finding the Fourth Proportional to 520,016,652,004.40, 780,024,978,006.65 and 520,016,652,004.40

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Solution

The fourth proportional to 520,016,652,004.40, 780,024,978,006.65 and 520,016,652,004.40 is: 780,024,978,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,016,652,004.40 : 780,024,978,006.65 = 520,016,652,004.40 : x
  2. Step 2: Convert to fraction form
    520,016,652,004.40/780,024,978,006.65 = 520,016,652,004.40/x
  3. Step 3: Cross multiply
    520,016,652,004.40x = 780,024,978,006.65 × 520,016,652,004.40
  4. Step 4: Simplify right side
    520,016,652,004.40x = 405,625,977,542,823,940,980,736
  5. Step 5: Solve for x
    x = 405,625,977,542,823,940,980,736/520,016,652,004.40
  6. Step 6: Final answer
    x = 780,024,978,006.65

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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.