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Finding the Fourth Proportional to 171,778,814.40, 257,668,221.60 and 171,778,814.40

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Solution

The fourth proportional to 171,778,814.40, 257,668,221.60 and 171,778,814.40 is: 257,668,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,778,814.40 : 257,668,221.60 = 171,778,814.40 : x
  2. Step 2: Convert to fraction form
    171,778,814.40/257,668,221.60 = 171,778,814.40/x
  3. Step 3: Cross multiply
    171,778,814.40x = 257,668,221.60 × 171,778,814.40
  4. Step 4: Simplify right side
    171,778,814.40x = 44,261,941,615,004,472
  5. Step 5: Solve for x
    x = 44,261,941,615,004,472/171,778,814.40
  6. Step 6: Final answer
    x = 257,668,221.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.