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Finding the Fourth Proportional to 354,295,809.80, 531,443,714.70 and 354,295,809.80

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Solution

The fourth proportional to 354,295,809.80, 531,443,714.70 and 354,295,809.80 is: 531,443,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,295,809.80 : 531,443,714.70 = 354,295,809.80 : x
  2. Step 2: Convert to fraction form
    354,295,809.80/531,443,714.70 = 354,295,809.80/x
  3. Step 3: Cross multiply
    354,295,809.80x = 531,443,714.70 × 354,295,809.80
  4. Step 4: Simplify right side
    354,295,809.80x = 188,288,281,262,756,672
  5. Step 5: Solve for x
    x = 188,288,281,262,756,672/354,295,809.80
  6. Step 6: Final answer
    x = 531,443,714.70

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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.