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Finding the Fourth Proportional to 176,149,729,335.30, 264,224,594,005.65 and 176,149,729,335.30

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Solution

The fourth proportional to 176,149,729,335.30, 264,224,594,005.65 and 176,149,729,335.30 is: 264,224,594,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,149,729,335.30 : 264,224,594,005.65 = 176,149,729,335.30 : x
  2. Step 2: Convert to fraction form
    176,149,729,335.30/264,224,594,005.65 = 176,149,729,335.30/x
  3. Step 3: Cross multiply
    176,149,729,335.30x = 264,224,594,005.65 × 176,149,729,335.30
  4. Step 4: Simplify right side
    176,149,729,335.30x = 46,543,090,717,824,777,191,424
  5. Step 5: Solve for x
    x = 46,543,090,717,824,777,191,424/176,149,729,335.30
  6. Step 6: Final answer
    x = 264,224,594,005.65

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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.