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Finding the Fourth Proportional to 800,706,693.94, 1,201,241,149.23 and 432,233,737.90

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Solution

The fourth proportional to 800,706,693.94, 1,201,241,149.23 and 432,233,737.90 is: 648,448,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,706,693.94 : 1,201,241,149.23 = 432,233,737.90 : x
  2. Step 2: Convert to fraction form
    800,706,693.94/1,201,241,149.23 = 432,233,737.90/x
  3. Step 3: Cross multiply
    800,706,693.94x = 1,201,241,149.23 × 432,233,737.90
  4. Step 4: Simplify right side
    800,706,693.94x = 519,216,952,050,974,592
  5. Step 5: Solve for x
    x = 519,216,952,050,974,592/800,706,693.94
  6. Step 6: Final answer
    x = 648,448,371.90

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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.