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Finding the Fourth Proportional to 1,564,562,304,329, 2,346,843,456,493.50 and 1,564,562,304,329

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Solution

The fourth proportional to 1,564,562,304,329, 2,346,843,456,493.50 and 1,564,562,304,329 is: 2,346,843,456,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,562,304,329 : 2,346,843,456,493.50 = 1,564,562,304,329 : x
  2. Step 2: Convert to fraction form
    1,564,562,304,329/2,346,843,456,493.50 = 1,564,562,304,329/x
  3. Step 3: Cross multiply
    1,564,562,304,329x = 2,346,843,456,493.50 × 1,564,562,304,329
  4. Step 4: Simplify right side
    1,564,562,304,329x = 3,671,782,806,190,905,846,923,264
  5. Step 5: Solve for x
    x = 3,671,782,806,190,905,846,923,264/1,564,562,304,329
  6. Step 6: Final answer
    x = 2,346,843,456,493.50

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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.