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Finding the Fourth Proportional to 656,653,648.68, 906,175,273.86 and 363,300,316.20

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Solution

The fourth proportional to 656,653,648.68, 906,175,273.86 and 363,300,316.20 is: 501,350,695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,653,648.68 : 906,175,273.86 = 363,300,316.20 : x
  2. Step 2: Convert to fraction form
    656,653,648.68/906,175,273.86 = 363,300,316.20/x
  3. Step 3: Cross multiply
    656,653,648.68x = 906,175,273.86 × 363,300,316.20
  4. Step 4: Simplify right side
    656,653,648.68x = 329,213,763,525,959,616
  5. Step 5: Solve for x
    x = 329,213,763,525,959,616/656,653,648.68
  6. Step 6: Final answer
    x = 501,350,695.59

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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.