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Finding the Fourth Proportional to 653,119,881.80, 978,336,129.90 and 330,185,712.20

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Solution

The fourth proportional to 653,119,881.80, 978,336,129.90 and 330,185,712.20 is: 494,599,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,119,881.80 : 978,336,129.90 = 330,185,712.20 : x
  2. Step 2: Convert to fraction form
    653,119,881.80/978,336,129.90 = 330,185,712.20/x
  3. Step 3: Cross multiply
    653,119,881.80x = 978,336,129.90 × 330,185,712.20
  4. Step 4: Simplify right side
    653,119,881.80x = 323,032,611,822,023,168
  5. Step 5: Solve for x
    x = 323,032,611,822,023,168/653,119,881.80
  6. Step 6: Final answer
    x = 494,599,262.44

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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.