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Finding the Fourth Proportional to 176,149,728,283.80, 264,224,592,426.78 and 176,149,728,283.80

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Solution

The fourth proportional to 176,149,728,283.80, 264,224,592,426.78 and 176,149,728,283.80 is: 264,224,592,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,149,728,283.80 : 264,224,592,426.78 = 176,149,728,283.80 : x
  2. Step 2: Convert to fraction form
    176,149,728,283.80/264,224,592,426.78 = 176,149,728,283.80/x
  3. Step 3: Cross multiply
    176,149,728,283.80x = 264,224,592,426.78 × 176,149,728,283.80
  4. Step 4: Simplify right side
    176,149,728,283.80x = 46,543,090,161,875,091,980,288
  5. Step 5: Solve for x
    x = 46,543,090,161,875,091,980,288/176,149,728,283.80
  6. Step 6: Final answer
    x = 264,224,592,426.78

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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.