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Finding the Fourth Proportional to 565,470,714.66, 848,111,592.15 and 156,568,199.46

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Solution

The fourth proportional to 565,470,714.66, 848,111,592.15 and 156,568,199.46 is: 234,826,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,470,714.66 : 848,111,592.15 = 156,568,199.46 : x
  2. Step 2: Convert to fraction form
    565,470,714.66/848,111,592.15 = 156,568,199.46/x
  3. Step 3: Cross multiply
    565,470,714.66x = 848,111,592.15 × 156,568,199.46
  4. Step 4: Simplify right side
    565,470,714.66x = 132,787,304,924,079,376
  5. Step 5: Solve for x
    x = 132,787,304,924,079,376/565,470,714.66
  6. Step 6: Final answer
    x = 234,826,139.50

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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.