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Finding the Fourth Proportional to 409,455,090.40, 614,182,635.60 and 118,331,710.60

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Solution

The fourth proportional to 409,455,090.40, 614,182,635.60 and 118,331,710.60 is: 177,497,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,455,090.40 : 614,182,635.60 = 118,331,710.60 : x
  2. Step 2: Convert to fraction form
    409,455,090.40/614,182,635.60 = 118,331,710.60/x
  3. Step 3: Cross multiply
    409,455,090.40x = 614,182,635.60 × 118,331,710.60
  4. Step 4: Simplify right side
    409,455,090.40x = 72,677,281,891,364,464
  5. Step 5: Solve for x
    x = 72,677,281,891,364,464/409,455,090.40
  6. Step 6: Final answer
    x = 177,497,565.90

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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.