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Finding the Fourth Proportional to 276,695,998.80, 414,596,100.60 and 174,276,747.60

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Solution

The fourth proportional to 276,695,998.80, 414,596,100.60 and 174,276,747.60 is: 261,133,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,695,998.80 : 414,596,100.60 = 174,276,747.60 : x
  2. Step 2: Convert to fraction form
    276,695,998.80/414,596,100.60 = 174,276,747.60/x
  3. Step 3: Cross multiply
    276,695,998.80x = 414,596,100.60 × 174,276,747.60
  4. Step 4: Simplify right side
    276,695,998.80x = 72,254,459,980,210,416
  5. Step 5: Solve for x
    x = 72,254,459,980,210,416/276,695,998.80
  6. Step 6: Final answer
    x = 261,133,013.46

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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.