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Finding the Fourth Proportional to 176,978,860.80, 265,468,291.20 and 146,745,772.80

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Solution

The fourth proportional to 176,978,860.80, 265,468,291.20 and 146,745,772.80 is: 220,118,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,978,860.80 : 265,468,291.20 = 146,745,772.80 : x
  2. Step 2: Convert to fraction form
    176,978,860.80/265,468,291.20 = 146,745,772.80/x
  3. Step 3: Cross multiply
    176,978,860.80x = 265,468,291.20 × 146,745,772.80
  4. Step 4: Simplify right side
    176,978,860.80x = 38,956,349,546,039,440
  5. Step 5: Solve for x
    x = 38,956,349,546,039,440/176,978,860.80
  6. Step 6: Final answer
    x = 220,118,659.20

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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.