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Finding the Fourth Proportional to 10,664,657,006,502, 15,996,985,509,753 and 10,664,657,006,502

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Solution

The fourth proportional to 10,664,657,006,502, 15,996,985,509,753 and 10,664,657,006,502 is: 15,996,985,509,753

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664,657,006,502 : 15,996,985,509,753 = 10,664,657,006,502 : x
  2. Step 2: Convert to fraction form
    10,664,657,006,502/15,996,985,509,753 = 10,664,657,006,502/x
  3. Step 3: Cross multiply
    10,664,657,006,502x = 15,996,985,509,753 × 10,664,657,006,502
  4. Step 4: Simplify right side
    10,664,657,006,502x = 170,602,363,599,498,300,671,131,648
  5. Step 5: Solve for x
    x = 170,602,363,599,498,300,671,131,648/10,664,657,006,502
  6. Step 6: Final answer
    x = 15,996,985,509,753

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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.