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Finding the Fourth Proportional to 917,741,089.25, 1,375,631,395.81 and 523,418,953.13

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Solution

The fourth proportional to 917,741,089.25, 1,375,631,395.81 and 523,418,953.13 is: 784,569,366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,741,089.25 : 1,375,631,395.81 = 523,418,953.13 : x
  2. Step 2: Convert to fraction form
    917,741,089.25/1,375,631,395.81 = 523,418,953.13/x
  3. Step 3: Cross multiply
    917,741,089.25x = 1,375,631,395.81 × 523,418,953.13
  4. Step 4: Simplify right side
    917,741,089.25x = 720,031,545,087,630,848
  5. Step 5: Solve for x
    x = 720,031,545,087,630,848/917,741,089.25
  6. Step 6: Final answer
    x = 784,569,366.59

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Why These Related Problems?

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