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Finding the Fourth Proportional to 520,401,024,230.80, 779,132,208,269.40 and 520,401,024,230.80

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Solution

The fourth proportional to 520,401,024,230.80, 779,132,208,269.40 and 520,401,024,230.80 is: 779,132,208,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,401,024,230.80 : 779,132,208,269.40 = 520,401,024,230.80 : x
  2. Step 2: Convert to fraction form
    520,401,024,230.80/779,132,208,269.40 = 520,401,024,230.80/x
  3. Step 3: Cross multiply
    520,401,024,230.80x = 779,132,208,269.40 × 520,401,024,230.80
  4. Step 4: Simplify right side
    520,401,024,230.80x = 405,461,199,194,600,731,836,416
  5. Step 5: Solve for x
    x = 405,461,199,194,600,731,836,416/520,401,024,230.80
  6. Step 6: Final answer
    x = 779,132,208,269.40

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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.