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Finding the Fourth Proportional to 702,692,574.90, 968,505,366.96 and 467,322,670.41

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Solution

The fourth proportional to 702,692,574.90, 968,505,366.96 and 467,322,670.41 is: 644,100,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,692,574.90 : 968,505,366.96 = 467,322,670.41 : x
  2. Step 2: Convert to fraction form
    702,692,574.90/968,505,366.96 = 467,322,670.41/x
  3. Step 3: Cross multiply
    702,692,574.90x = 968,505,366.96 × 467,322,670.41
  4. Step 4: Simplify right side
    702,692,574.90x = 452,604,514,394,164,224
  5. Step 5: Solve for x
    x = 452,604,514,394,164,224/702,692,574.90
  6. Step 6: Final answer
    x = 644,100,322.90

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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.