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Finding the Fourth Proportional to 176,377,176,000.60, 264,565,764,000.90 and 176,377,176,000.60

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Solution

The fourth proportional to 176,377,176,000.60, 264,565,764,000.90 and 176,377,176,000.60 is: 264,565,764,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,377,176,000.60 : 264,565,764,000.90 = 176,377,176,000.60 : x
  2. Step 2: Convert to fraction form
    176,377,176,000.60/264,565,764,000.90 = 176,377,176,000.60/x
  3. Step 3: Cross multiply
    176,377,176,000.60x = 264,565,764,000.90 × 176,377,176,000.60
  4. Step 4: Simplify right side
    176,377,176,000.60x = 46,663,362,320,919,940,825,088
  5. Step 5: Solve for x
    x = 46,663,362,320,919,940,825,088/176,377,176,000.60
  6. Step 6: Final answer
    x = 264,565,764,000.90

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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.