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Finding the Fourth Proportional to 534,924,009.80, 802,386,014.70 and 413,842,358.60

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Solution

The fourth proportional to 534,924,009.80, 802,386,014.70 and 413,842,358.60 is: 620,763,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,924,009.80 : 802,386,014.70 = 413,842,358.60 : x
  2. Step 2: Convert to fraction form
    534,924,009.80/802,386,014.70 = 413,842,358.60/x
  3. Step 3: Cross multiply
    534,924,009.80x = 802,386,014.70 × 413,842,358.60
  4. Step 4: Simplify right side
    534,924,009.80x = 332,061,320,831,102,336
  5. Step 5: Solve for x
    x = 332,061,320,831,102,336/534,924,009.80
  6. Step 6: Final answer
    x = 620,763,537.90

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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.