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Finding the Fourth Proportional to 176,285,581,402.60, 264,428,372,103.90 and 176,285,581,402.60

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Solution

The fourth proportional to 176,285,581,402.60, 264,428,372,103.90 and 176,285,581,402.60 is: 264,428,372,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,285,581,402.60 : 264,428,372,103.90 = 176,285,581,402.60 : x
  2. Step 2: Convert to fraction form
    176,285,581,402.60/264,428,372,103.90 = 176,285,581,402.60/x
  3. Step 3: Cross multiply
    176,285,581,402.60x = 264,428,372,103.90 × 176,285,581,402.60
  4. Step 4: Simplify right side
    176,285,581,402.60x = 46,614,909,315,679,065,735,168
  5. Step 5: Solve for x
    x = 46,614,909,315,679,065,735,168/176,285,581,402.60
  6. Step 6: Final answer
    x = 264,428,372,103.90

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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.