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Finding the Fourth Proportional to 598,144,064.80, 897,337,402.80 and 339,483,200.80

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Solution

The fourth proportional to 598,144,064.80, 897,337,402.80 and 339,483,200.80 is: 509,293,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,144,064.80 : 897,337,402.80 = 339,483,200.80 : x
  2. Step 2: Convert to fraction form
    598,144,064.80/897,337,402.80 = 339,483,200.80/x
  3. Step 3: Cross multiply
    598,144,064.80x = 897,337,402.80 × 339,483,200.80
  4. Step 4: Simplify right side
    598,144,064.80x = 304,630,973,700,102,848
  5. Step 5: Solve for x
    x = 304,630,973,700,102,848/598,144,064.80
  6. Step 6: Final answer
    x = 509,293,649.52

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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.