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Finding the Fourth Proportional to 10,759,849,746,799, 16,139,774,620,199 and 10,759,849,746,799

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Solution

The fourth proportional to 10,759,849,746,799, 16,139,774,620,199 and 10,759,849,746,799 is: 16,139,774,620,199

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759,849,746,799 : 16,139,774,620,199 = 10,759,849,746,799 : x
  2. Step 2: Convert to fraction form
    10,759,849,746,799/16,139,774,620,199 = 10,759,849,746,799/x
  3. Step 3: Cross multiply
    10,759,849,746,799x = 16,139,774,620,199 × 10,759,849,746,799
  4. Step 4: Simplify right side
    10,759,849,746,799x = 173,661,549,860,541,143,793,532,928
  5. Step 5: Solve for x
    x = 173,661,549,860,541,143,793,532,928/10,759,849,746,799
  6. Step 6: Final answer
    x = 16,139,774,620,199

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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.