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Finding the Fourth Proportional to 187,138,383,602.70, 280,707,575,404.05 and 187,138,383,602.70

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Solution

The fourth proportional to 187,138,383,602.70, 280,707,575,404.05 and 187,138,383,602.70 is: 280,707,575,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,138,383,602.70 : 280,707,575,404.05 = 187,138,383,602.70 : x
  2. Step 2: Convert to fraction form
    187,138,383,602.70/280,707,575,404.05 = 187,138,383,602.70/x
  3. Step 3: Cross multiply
    187,138,383,602.70x = 280,707,575,404.05 × 187,138,383,602.70
  4. Step 4: Simplify right side
    187,138,383,602.70x = 52,531,161,926,146,946,236,416
  5. Step 5: Solve for x
    x = 52,531,161,926,146,946,236,416/187,138,383,602.70
  6. Step 6: Final answer
    x = 280,707,575,404.05

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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.