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Finding the Fourth Proportional to 10,759,849,731,616, 16,139,774,597,422 and 10,759,849,731,616

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Solution

The fourth proportional to 10,759,849,731,616, 16,139,774,597,422 and 10,759,849,731,616 is: 16,139,774,597,422

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759,849,731,616 : 16,139,774,597,422 = 10,759,849,731,616 : x
  2. Step 2: Convert to fraction form
    10,759,849,731,616/16,139,774,597,422 = 10,759,849,731,616/x
  3. Step 3: Cross multiply
    10,759,849,731,616x = 16,139,774,597,422 × 10,759,849,731,616
  4. Step 4: Simplify right side
    10,759,849,731,616x = 173,661,549,370,413,838,344,650,752
  5. Step 5: Solve for x
    x = 173,661,549,370,413,838,344,650,752/10,759,849,731,616
  6. Step 6: Final answer
    x = 16,139,774,597,422

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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.