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Finding the Fourth Proportional to 181,752,802,281.95, 272,629,203,422.93 and 181,752,802,281.95

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Solution

The fourth proportional to 181,752,802,281.95, 272,629,203,422.93 and 181,752,802,281.95 is: 272,629,203,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,752,802,281.95 : 272,629,203,422.93 = 181,752,802,281.95 : x
  2. Step 2: Convert to fraction form
    181,752,802,281.95/272,629,203,422.93 = 181,752,802,281.95/x
  3. Step 3: Cross multiply
    181,752,802,281.95x = 272,629,203,422.93 × 181,752,802,281.95
  4. Step 4: Simplify right side
    181,752,802,281.95x = 49,551,121,706,013,322,903,552
  5. Step 5: Solve for x
    x = 49,551,121,706,013,322,903,552/181,752,802,281.95
  6. Step 6: Final answer
    x = 272,629,203,422.93

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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.