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Finding the Fourth Proportional to 413,359,872.89, 619,824,514.22 and 194,951,572.22

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Solution

The fourth proportional to 413,359,872.89, 619,824,514.22 and 194,951,572.22 is: 292,325,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,359,872.89 : 619,824,514.22 = 194,951,572.22 : x
  2. Step 2: Convert to fraction form
    413,359,872.89/619,824,514.22 = 194,951,572.22/x
  3. Step 3: Cross multiply
    413,359,872.89x = 619,824,514.22 × 194,951,572.22
  4. Step 4: Simplify right side
    413,359,872.89x = 120,835,763,547,686,752
  5. Step 5: Solve for x
    x = 120,835,763,547,686,752/413,359,872.89
  6. Step 6: Final answer
    x = 292,325,819.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.