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Finding the Fourth Proportional to 1,552,873,335,752, 2,329,310,003,627.80 and 1,552,873,335,752

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Solution

The fourth proportional to 1,552,873,335,752, 2,329,310,003,627.80 and 1,552,873,335,752 is: 2,329,310,003,627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552,873,335,752 : 2,329,310,003,627.80 = 1,552,873,335,752 : x
  2. Step 2: Convert to fraction form
    1,552,873,335,752/2,329,310,003,627.80 = 1,552,873,335,752/x
  3. Step 3: Cross multiply
    1,552,873,335,752x = 2,329,310,003,627.80 × 1,552,873,335,752
  4. Step 4: Simplify right side
    1,552,873,335,752x = 3,617,123,395,334,004,608,598,016
  5. Step 5: Solve for x
    x = 3,617,123,395,334,004,608,598,016/1,552,873,335,752
  6. Step 6: Final answer
    x = 2,329,310,003,627.80

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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.