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Finding the Fourth Proportional to 829,565,783, 1,144,801,239.86 and 448,087,816.18

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Solution

The fourth proportional to 829,565,783, 1,144,801,239.86 and 448,087,816.18 is: 618,361,434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,565,783 : 1,144,801,239.86 = 448,087,816.18 : x
  2. Step 2: Convert to fraction form
    829,565,783/1,144,801,239.86 = 448,087,816.18/x
  3. Step 3: Cross multiply
    829,565,783x = 1,144,801,239.86 × 448,087,816.18
  4. Step 4: Simplify right side
    829,565,783x = 512,971,487,529,023,744
  5. Step 5: Solve for x
    x = 512,971,487,529,023,744/829,565,783
  6. Step 6: Final answer
    x = 618,361,434.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.