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Finding the Fourth Proportional to 145,318,784,215.60, 217,978,176,323.40 and 145,318,784,215.60

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Solution

The fourth proportional to 145,318,784,215.60, 217,978,176,323.40 and 145,318,784,215.60 is: 217,978,176,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,318,784,215.60 : 217,978,176,323.40 = 145,318,784,215.60 : x
  2. Step 2: Convert to fraction form
    145,318,784,215.60/217,978,176,323.40 = 145,318,784,215.60/x
  3. Step 3: Cross multiply
    145,318,784,215.60x = 217,978,176,323.40 × 145,318,784,215.60
  4. Step 4: Simplify right side
    145,318,784,215.60x = 31,676,323,568,850,175,000,576
  5. Step 5: Solve for x
    x = 31,676,323,568,850,175,000,576/145,318,784,215.60
  6. Step 6: Final answer
    x = 217,978,176,323.40

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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.