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Finding the Fourth Proportional to 600,612,101.70, 842,066,265.90 and 600,612,101.70

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Solution

The fourth proportional to 600,612,101.70, 842,066,265.90 and 600,612,101.70 is: 842,066,265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,612,101.70 : 842,066,265.90 = 600,612,101.70 : x
  2. Step 2: Convert to fraction form
    600,612,101.70/842,066,265.90 = 600,612,101.70/x
  3. Step 3: Cross multiply
    600,612,101.70x = 842,066,265.90 × 600,612,101.70
  4. Step 4: Simplify right side
    600,612,101.70x = 505,755,189,732,870,080
  5. Step 5: Solve for x
    x = 505,755,189,732,870,080/600,612,101.70
  6. Step 6: Final answer
    x = 842,066,265.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.