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Finding the Fourth Proportional to 578,058,276.30, 866,835,472.05 and 232,897,188.30

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Solution

The fourth proportional to 578,058,276.30, 866,835,472.05 and 232,897,188.30 is: 349,244,275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,058,276.30 : 866,835,472.05 = 232,897,188.30 : x
  2. Step 2: Convert to fraction form
    578,058,276.30/866,835,472.05 = 232,897,188.30/x
  3. Step 3: Cross multiply
    578,058,276.30x = 866,835,472.05 × 232,897,188.30
  4. Step 4: Simplify right side
    578,058,276.30x = 201,883,544,159,148,224
  5. Step 5: Solve for x
    x = 201,883,544,159,148,224/578,058,276.30
  6. Step 6: Final answer
    x = 349,244,275.94

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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.