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Finding the Fourth Proportional to 176,023,048,901.80, 264,034,573,352.70 and 176,023,048,901.80

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Solution

The fourth proportional to 176,023,048,901.80, 264,034,573,352.70 and 176,023,048,901.80 is: 264,034,573,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,023,048,901.80 : 264,034,573,352.70 = 176,023,048,901.80 : x
  2. Step 2: Convert to fraction form
    176,023,048,901.80/264,034,573,352.70 = 176,023,048,901.80/x
  3. Step 3: Cross multiply
    176,023,048,901.80x = 264,034,573,352.70 × 176,023,048,901.80
  4. Step 4: Simplify right side
    176,023,048,901.80x = 46,476,170,617,028,213,735,424
  5. Step 5: Solve for x
    x = 46,476,170,617,028,213,735,424/176,023,048,901.80
  6. Step 6: Final answer
    x = 264,034,573,352.70

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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.