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Finding the Fourth Proportional to 551,977,079,672.70, 827,965,619,509.05 and 551,977,079,672.70

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Solution

The fourth proportional to 551,977,079,672.70, 827,965,619,509.05 and 551,977,079,672.70 is: 827,965,619,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,977,079,672.70 : 827,965,619,509.05 = 551,977,079,672.70 : x
  2. Step 2: Convert to fraction form
    551,977,079,672.70/827,965,619,509.05 = 551,977,079,672.70/x
  3. Step 3: Cross multiply
    551,977,079,672.70x = 827,965,619,509.05 × 551,977,079,672.70
  4. Step 4: Simplify right side
    551,977,079,672.70x = 457,018,044,726,003,307,118,592
  5. Step 5: Solve for x
    x = 457,018,044,726,003,307,118,592/551,977,079,672.70
  6. Step 6: Final answer
    x = 827,965,619,509.05

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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.