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Finding the Fourth Proportional to 256,765,973.94, 354,337,044.06 and 146,760,048.90

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Solution

The fourth proportional to 256,765,973.94, 354,337,044.06 and 146,760,048.90 is: 202,528,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,765,973.94 : 354,337,044.06 = 146,760,048.90 : x
  2. Step 2: Convert to fraction form
    256,765,973.94/354,337,044.06 = 146,760,048.90/x
  3. Step 3: Cross multiply
    256,765,973.94x = 354,337,044.06 × 146,760,048.90
  4. Step 4: Simplify right side
    256,765,973.94x = 52,002,521,913,327,056
  5. Step 5: Solve for x
    x = 52,002,521,913,327,056/256,765,973.94
  6. Step 6: Final answer
    x = 202,528,867.50

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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.