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Finding the Fourth Proportional to 553,609,062.30, 830,413,593.45 and 323,459,679.90

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Solution

The fourth proportional to 553,609,062.30, 830,413,593.45 and 323,459,679.90 is: 485,189,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,609,062.30 : 830,413,593.45 = 323,459,679.90 : x
  2. Step 2: Convert to fraction form
    553,609,062.30/830,413,593.45 = 323,459,679.90/x
  3. Step 3: Cross multiply
    553,609,062.30x = 830,413,593.45 × 323,459,679.90
  4. Step 4: Simplify right side
    553,609,062.30x = 268,605,315,121,945,728
  5. Step 5: Solve for x
    x = 268,605,315,121,945,728/553,609,062.30
  6. Step 6: Final answer
    x = 485,189,519.85

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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.