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Finding the Fourth Proportional to 176,152,070.40, 264,228,105.60 and 176,152,070.40

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Solution

The fourth proportional to 176,152,070.40, 264,228,105.60 and 176,152,070.40 is: 264,228,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,152,070.40 : 264,228,105.60 = 176,152,070.40 : x
  2. Step 2: Convert to fraction form
    176,152,070.40/264,228,105.60 = 176,152,070.40/x
  3. Step 3: Cross multiply
    176,152,070.40x = 264,228,105.60 × 176,152,070.40
  4. Step 4: Simplify right side
    176,152,070.40x = 46,544,327,859,309,832
  5. Step 5: Solve for x
    x = 46,544,327,859,309,832/176,152,070.40
  6. Step 6: Final answer
    x = 264,228,105.60

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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.