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Finding the Fourth Proportional to 469,148,441.60, 703,722,662.40 and 296,064,012.80

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Solution

The fourth proportional to 469,148,441.60, 703,722,662.40 and 296,064,012.80 is: 444,096,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,148,441.60 : 703,722,662.40 = 296,064,012.80 : x
  2. Step 2: Convert to fraction form
    469,148,441.60/703,722,662.40 = 296,064,012.80/x
  3. Step 3: Cross multiply
    469,148,441.60x = 703,722,662.40 × 296,064,012.80
  4. Step 4: Simplify right side
    469,148,441.60x = 208,346,955,328,443,680
  5. Step 5: Solve for x
    x = 208,346,955,328,443,680/469,148,441.60
  6. Step 6: Final answer
    x = 444,096,019.20

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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.