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Finding the Fourth Proportional to 520,401,024,216.30, 779,132,208,247.65 and 520,401,024,216.30

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Solution

The fourth proportional to 520,401,024,216.30, 779,132,208,247.65 and 520,401,024,216.30 is: 779,132,208,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,401,024,216.30 : 779,132,208,247.65 = 520,401,024,216.30 : x
  2. Step 2: Convert to fraction form
    520,401,024,216.30/779,132,208,247.65 = 520,401,024,216.30/x
  3. Step 3: Cross multiply
    520,401,024,216.30x = 779,132,208,247.65 × 520,401,024,216.30
  4. Step 4: Simplify right side
    520,401,024,216.30x = 405,461,199,171,984,574,906,368
  5. Step 5: Solve for x
    x = 405,461,199,171,984,574,906,368/520,401,024,216.30
  6. Step 6: Final answer
    x = 779,132,208,247.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.