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Finding the Fourth Proportional to 488,606,401.80, 733,015,890.90 and 161,026,169.40

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Solution

The fourth proportional to 488,606,401.80, 733,015,890.90 and 161,026,169.40 is: 241,574,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,606,401.80 : 733,015,890.90 = 161,026,169.40 : x
  2. Step 2: Convert to fraction form
    488,606,401.80/733,015,890.90 = 161,026,169.40/x
  3. Step 3: Cross multiply
    488,606,401.80x = 733,015,890.90 × 161,026,169.40
  4. Step 4: Simplify right side
    488,606,401.80x = 118,034,741,020,955,312
  5. Step 5: Solve for x
    x = 118,034,741,020,955,312/488,606,401.80
  6. Step 6: Final answer
    x = 241,574,282.67

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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.