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Finding the Fourth Proportional to 117,433,152,001.45, 176,149,728,002.17 and 117,433,152,001.45

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Solution

The fourth proportional to 117,433,152,001.45, 176,149,728,002.17 and 117,433,152,001.45 is: 176,149,728,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,433,152,001.45 : 176,149,728,002.17 = 117,433,152,001.45 : x
  2. Step 2: Convert to fraction form
    117,433,152,001.45/176,149,728,002.17 = 117,433,152,001.45/x
  3. Step 3: Cross multiply
    117,433,152,001.45x = 176,149,728,002.17 × 117,433,152,001.45
  4. Step 4: Simplify right side
    117,433,152,001.45x = 20,685,817,783,492,903,174,144
  5. Step 5: Solve for x
    x = 20,685,817,783,492,903,174,144/117,433,152,001.45
  6. Step 6: Final answer
    x = 176,149,728,002.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.