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Finding the Fourth Proportional to 240,098,978.30, 331,208,778.84 and 146,041,892.92

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Solution

The fourth proportional to 240,098,978.30, 331,208,778.84 and 146,041,892.92 is: 201,460,070.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,098,978.30 : 331,208,778.84 = 146,041,892.92 : x
  2. Step 2: Convert to fraction form
    240,098,978.30/331,208,778.84 = 146,041,892.92/x
  3. Step 3: Cross multiply
    240,098,978.30x = 331,208,778.84 × 146,041,892.92
  4. Step 4: Simplify right side
    240,098,978.30x = 48,370,357,013,515,232
  5. Step 5: Solve for x
    x = 48,370,357,013,515,232/240,098,978.30
  6. Step 6: Final answer
    x = 201,460,070.16

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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.