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Finding the Fourth Proportional to 256,765,972.94, 354,337,042.69 and 146,760,047.90

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Solution

The fourth proportional to 256,765,972.94, 354,337,042.69 and 146,760,047.90 is: 202,528,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,765,972.94 : 354,337,042.69 = 146,760,047.90 : x
  2. Step 2: Convert to fraction form
    256,765,972.94/354,337,042.69 = 146,760,047.90/x
  3. Step 3: Cross multiply
    256,765,972.94x = 354,337,042.69 × 146,760,047.90
  4. Step 4: Simplify right side
    256,765,972.94x = 52,002,521,357,928,744
  5. Step 5: Solve for x
    x = 52,002,521,357,928,744/256,765,972.94
  6. Step 6: Final answer
    x = 202,528,866.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.