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Finding the Fourth Proportional to 404,842,817.20, 558,265,530.36 and 346,299,294.64

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Solution

The fourth proportional to 404,842,817.20, 558,265,530.36 and 346,299,294.64 is: 477,535,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,842,817.20 : 558,265,530.36 = 346,299,294.64 : x
  2. Step 2: Convert to fraction form
    404,842,817.20/558,265,530.36 = 346,299,294.64/x
  3. Step 3: Cross multiply
    404,842,817.20x = 558,265,530.36 × 346,299,294.64
  4. Step 4: Simplify right side
    404,842,817.20x = 193,326,959,385,493,504
  5. Step 5: Solve for x
    x = 193,326,959,385,493,504/404,842,817.20
  6. Step 6: Final answer
    x = 477,535,851.38

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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.