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Finding the Fourth Proportional to 177,412,266.40, 266,118,399.60 and 177,412,266.40

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Solution

The fourth proportional to 177,412,266.40, 266,118,399.60 and 177,412,266.40 is: 266,118,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,412,266.40 : 266,118,399.60 = 177,412,266.40 : x
  2. Step 2: Convert to fraction form
    177,412,266.40/266,118,399.60 = 177,412,266.40/x
  3. Step 3: Cross multiply
    177,412,266.40x = 266,118,399.60 × 177,412,266.40
  4. Step 4: Simplify right side
    177,412,266.40x = 47,212,668,403,776,856
  5. Step 5: Solve for x
    x = 47,212,668,403,776,856/177,412,266.40
  6. Step 6: Final answer
    x = 266,118,399.60

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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.