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Finding the Fourth Proportional to 469,243,969.60, 658,302,046.40 and 469,243,969.60

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Solution

The fourth proportional to 469,243,969.60, 658,302,046.40 and 469,243,969.60 is: 658,302,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,243,969.60 : 658,302,046.40 = 469,243,969.60 : x
  2. Step 2: Convert to fraction form
    469,243,969.60/658,302,046.40 = 469,243,969.60/x
  3. Step 3: Cross multiply
    469,243,969.60x = 658,302,046.40 × 469,243,969.60
  4. Step 4: Simplify right side
    469,243,969.60x = 308,904,265,448,539,392
  5. Step 5: Solve for x
    x = 308,904,265,448,539,392/469,243,969.60
  6. Step 6: Final answer
    x = 658,302,046.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.