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Finding the Fourth Proportional to 1,564,566,888,914, 2,346,850,333,371 and 1,564,566,888,914

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Solution

The fourth proportional to 1,564,566,888,914, 2,346,850,333,371 and 1,564,566,888,914 is: 2,346,850,333,371

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,566,888,914 : 2,346,850,333,371 = 1,564,566,888,914 : x
  2. Step 2: Convert to fraction form
    1,564,566,888,914/2,346,850,333,371 = 1,564,566,888,914/x
  3. Step 3: Cross multiply
    1,564,566,888,914x = 2,346,850,333,371 × 1,564,566,888,914
  4. Step 4: Simplify right side
    1,564,566,888,914x = 3,671,804,324,829,049,321,947,136
  5. Step 5: Solve for x
    x = 3,671,804,324,829,049,321,947,136/1,564,566,888,914
  6. Step 6: Final answer
    x = 2,346,850,333,371

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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.