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Finding the Fourth Proportional to 81,452,208,534.64, 122,178,312,801.97 and 81,452,208,534.64

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Solution

The fourth proportional to 81,452,208,534.64, 122,178,312,801.97 and 81,452,208,534.64 is: 122,178,312,801.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,452,208,534.64 : 122,178,312,801.97 = 81,452,208,534.64 : x
  2. Step 2: Convert to fraction form
    81,452,208,534.64/122,178,312,801.97 = 81,452,208,534.64/x
  3. Step 3: Cross multiply
    81,452,208,534.64x = 122,178,312,801.97 × 81,452,208,534.64
  4. Step 4: Simplify right side
    81,452,208,534.64x = 9,951,693,412,756,292,108,288
  5. Step 5: Solve for x
    x = 9,951,693,412,756,292,108,288/81,452,208,534.64
  6. Step 6: Final answer
    x = 122,178,312,801.97

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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.