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Finding the Fourth Proportional to 536,545,647.60, 804,818,471.40 and 536,545,647.60

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Solution

The fourth proportional to 536,545,647.60, 804,818,471.40 and 536,545,647.60 is: 804,818,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,545,647.60 : 804,818,471.40 = 536,545,647.60 : x
  2. Step 2: Convert to fraction form
    536,545,647.60/804,818,471.40 = 536,545,647.60/x
  3. Step 3: Cross multiply
    536,545,647.60x = 804,818,471.40 × 536,545,647.60
  4. Step 4: Simplify right side
    536,545,647.60x = 431,821,847,937,755,072
  5. Step 5: Solve for x
    x = 431,821,847,937,755,072/536,545,647.60
  6. Step 6: Final answer
    x = 804,818,471.40

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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.