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Finding the Fourth Proportional to 659,857,714.80, 910,502,420.40 and 381,345,451.80

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Solution

The fourth proportional to 659,857,714.80, 910,502,420.40 and 381,345,451.80 is: 526,198,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,857,714.80 : 910,502,420.40 = 381,345,451.80 : x
  2. Step 2: Convert to fraction form
    659,857,714.80/910,502,420.40 = 381,345,451.80/x
  3. Step 3: Cross multiply
    659,857,714.80x = 910,502,420.40 × 381,345,451.80
  4. Step 4: Simplify right side
    659,857,714.80x = 347,215,956,872,431,552
  5. Step 5: Solve for x
    x = 347,215,956,872,431,552/659,857,714.80
  6. Step 6: Final answer
    x = 526,198,222.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.