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Finding the Fourth Proportional to 14,671,097,119.80, 22,006,645,679.70 and 14,671,097,119.80

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Solution

The fourth proportional to 14,671,097,119.80, 22,006,645,679.70 and 14,671,097,119.80 is: 22,006,645,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,671,097,119.80 : 22,006,645,679.70 = 14,671,097,119.80 : x
  2. Step 2: Convert to fraction form
    14,671,097,119.80/22,006,645,679.70 = 14,671,097,119.80/x
  3. Step 3: Cross multiply
    14,671,097,119.80x = 22,006,645,679.70 × 14,671,097,119.80
  4. Step 4: Simplify right side
    14,671,097,119.80x = 322,861,636,047,905,751,040
  5. Step 5: Solve for x
    x = 322,861,636,047,905,751,040/14,671,097,119.80
  6. Step 6: Final answer
    x = 22,006,645,679.70

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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.