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Finding the Fourth Proportional to 560,069,914.80, 840,104,872.20 and 151,125,409.20

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Solution

The fourth proportional to 560,069,914.80, 840,104,872.20 and 151,125,409.20 is: 226,688,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,069,914.80 : 840,104,872.20 = 151,125,409.20 : x
  2. Step 2: Convert to fraction form
    560,069,914.80/840,104,872.20 = 151,125,409.20/x
  3. Step 3: Cross multiply
    560,069,914.80x = 840,104,872.20 × 151,125,409.20
  4. Step 4: Simplify right side
    560,069,914.80x = 126,961,192,582,138,704
  5. Step 5: Solve for x
    x = 126,961,192,582,138,704/560,069,914.80
  6. Step 6: Final answer
    x = 226,688,113.80

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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.