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Finding the Fourth Proportional to 176,149,908,057.80, 264,224,862,086.70 and 176,149,908,057.80

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Solution

The fourth proportional to 176,149,908,057.80, 264,224,862,086.70 and 176,149,908,057.80 is: 264,224,862,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,149,908,057.80 : 264,224,862,086.70 = 176,149,908,057.80 : x
  2. Step 2: Convert to fraction form
    176,149,908,057.80/264,224,862,086.70 = 176,149,908,057.80/x
  3. Step 3: Cross multiply
    176,149,908,057.80x = 264,224,862,086.70 × 176,149,908,057.80
  4. Step 4: Simplify right side
    176,149,908,057.80x = 46,543,185,163,157,086,666,752
  5. Step 5: Solve for x
    x = 46,543,185,163,157,086,666,752/176,149,908,057.80
  6. Step 6: Final answer
    x = 264,224,862,086.70

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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.