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Finding the Fourth Proportional to 317,166,503.80, 475,749,755.70 and 295,643,143.30

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Solution

The fourth proportional to 317,166,503.80, 475,749,755.70 and 295,643,143.30 is: 443,464,714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,166,503.80 : 475,749,755.70 = 295,643,143.30 : x
  2. Step 2: Convert to fraction form
    317,166,503.80/475,749,755.70 = 295,643,143.30/x
  3. Step 3: Cross multiply
    317,166,503.80x = 475,749,755.70 × 295,643,143.30
  4. Step 4: Simplify right side
    317,166,503.80x = 140,652,153,199,355,088
  5. Step 5: Solve for x
    x = 140,652,153,199,355,088/317,166,503.80
  6. Step 6: Final answer
    x = 443,464,714.95

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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.