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Finding the Fourth Proportional to 904,164,160, 1,356,448,416 and 329,735,488

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Solution

The fourth proportional to 904,164,160, 1,356,448,416 and 329,735,488 is: 494,676,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,164,160 : 1,356,448,416 = 329,735,488 : x
  2. Step 2: Convert to fraction form
    904,164,160/1,356,448,416 = 329,735,488/x
  3. Step 3: Cross multiply
    904,164,160x = 1,356,448,416 × 329,735,488
  4. Step 4: Simplify right side
    904,164,160x = 447,269,180,396,587,008
  5. Step 5: Solve for x
    x = 447,269,180,396,587,008/904,164,160
  6. Step 6: Final answer
    x = 494,676,962.64

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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.