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Finding the Fourth Proportional to 650,314,878.40, 975,188,882.40 and 262,008,654.40

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Solution

The fourth proportional to 650,314,878.40, 975,188,882.40 and 262,008,654.40 is: 392,898,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,314,878.40 : 975,188,882.40 = 262,008,654.40 : x
  2. Step 2: Convert to fraction form
    650,314,878.40/975,188,882.40 = 262,008,654.40/x
  3. Step 3: Cross multiply
    650,314,878.40x = 975,188,882.40 × 262,008,654.40
  4. Step 4: Simplify right side
    650,314,878.40x = 255,507,926,863,463,840
  5. Step 5: Solve for x
    x = 255,507,926,863,463,840/650,314,878.40
  6. Step 6: Final answer
    x = 392,898,786.96

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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.