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Finding the Fourth Proportional to 251,000,478,001.51, 376,500,717,002.27 and 251,000,478,001.51

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Solution

The fourth proportional to 251,000,478,001.51, 376,500,717,002.27 and 251,000,478,001.51 is: 376,500,717,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,000,478,001.51 : 376,500,717,002.27 = 251,000,478,001.51 : x
  2. Step 2: Convert to fraction form
    251,000,478,001.51/376,500,717,002.27 = 251,000,478,001.51/x
  3. Step 3: Cross multiply
    251,000,478,001.51x = 376,500,717,002.27 × 251,000,478,001.51
  4. Step 4: Simplify right side
    251,000,478,001.51x = 94,501,859,935,481,029,984,256
  5. Step 5: Solve for x
    x = 94,501,859,935,481,029,984,256/251,000,478,001.51
  6. Step 6: Final answer
    x = 376,500,717,002.27

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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.