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Finding the Fourth Proportional to 14,671,096,999.30, 22,006,645,498.95 and 14,671,096,999.30

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Solution

The fourth proportional to 14,671,096,999.30, 22,006,645,498.95 and 14,671,096,999.30 is: 22,006,645,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,671,096,999.30 : 22,006,645,498.95 = 14,671,096,999.30 : x
  2. Step 2: Convert to fraction form
    14,671,096,999.30/22,006,645,498.95 = 14,671,096,999.30/x
  3. Step 3: Cross multiply
    14,671,096,999.30x = 22,006,645,498.95 × 14,671,096,999.30
  4. Step 4: Simplify right side
    14,671,096,999.30x = 322,861,630,744,304,222,208
  5. Step 5: Solve for x
    x = 322,861,630,744,304,222,208/14,671,096,999.30
  6. Step 6: Final answer
    x = 22,006,645,498.95

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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.