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Finding the Fourth Proportional to 321,896,233.20, 482,844,349.80 and 117,430,978.80

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Solution

The fourth proportional to 321,896,233.20, 482,844,349.80 and 117,430,978.80 is: 176,146,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,896,233.20 : 482,844,349.80 = 117,430,978.80 : x
  2. Step 2: Convert to fraction form
    321,896,233.20/482,844,349.80 = 117,430,978.80/x
  3. Step 3: Cross multiply
    321,896,233.20x = 482,844,349.80 × 117,430,978.80
  4. Step 4: Simplify right side
    321,896,233.20x = 56,700,884,605,063,584
  5. Step 5: Solve for x
    x = 56,700,884,605,063,584/321,896,233.20
  6. Step 6: Final answer
    x = 176,146,468.20

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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.