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Finding the Fourth Proportional to 10,759,849,731,606, 16,139,774,597,409 and 10,759,849,731,606

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Solution

The fourth proportional to 10,759,849,731,606, 16,139,774,597,409 and 10,759,849,731,606 is: 16,139,774,597,409

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759,849,731,606 : 16,139,774,597,409 = 10,759,849,731,606 : x
  2. Step 2: Convert to fraction form
    10,759,849,731,606/16,139,774,597,409 = 10,759,849,731,606/x
  3. Step 3: Cross multiply
    10,759,849,731,606x = 16,139,774,597,409 × 10,759,849,731,606
  4. Step 4: Simplify right side
    10,759,849,731,606x = 173,661,549,370,112,572,158,640,128
  5. Step 5: Solve for x
    x = 173,661,549,370,112,572,158,640,128/10,759,849,731,606
  6. Step 6: Final answer
    x = 16,139,774,597,409

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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.