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Finding the Fourth Proportional to 463,798,160.40, 695,697,240.60 and 441,123,344.40

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Solution

The fourth proportional to 463,798,160.40, 695,697,240.60 and 441,123,344.40 is: 661,685,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,798,160.40 : 695,697,240.60 = 441,123,344.40 : x
  2. Step 2: Convert to fraction form
    463,798,160.40/695,697,240.60 = 441,123,344.40/x
  3. Step 3: Cross multiply
    463,798,160.40x = 695,697,240.60 × 441,123,344.40
  4. Step 4: Simplify right side
    463,798,160.40x = 306,888,293,463,323,456
  5. Step 5: Solve for x
    x = 306,888,293,463,323,456/463,798,160.40
  6. Step 6: Final answer
    x = 661,685,016.60

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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.