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Finding the Fourth Proportional to 804,024,752.30, 1,203,486,211.65 and 804,024,752.30

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Solution

The fourth proportional to 804,024,752.30, 1,203,486,211.65 and 804,024,752.30 is: 1,203,486,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,024,752.30 : 1,203,486,211.65 = 804,024,752.30 : x
  2. Step 2: Convert to fraction form
    804,024,752.30/1,203,486,211.65 = 804,024,752.30/x
  3. Step 3: Cross multiply
    804,024,752.30x = 1,203,486,211.65 × 804,024,752.30
  4. Step 4: Simplify right side
    804,024,752.30x = 967,632,703,218,356,608
  5. Step 5: Solve for x
    x = 967,632,703,218,356,608/804,024,752.30
  6. Step 6: Final answer
    x = 1,203,486,211.65

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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.