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Finding the Fourth Proportional to 117,433,152,064.70, 176,149,728,097.06 and 117,433,152,064.70

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Solution

The fourth proportional to 117,433,152,064.70, 176,149,728,097.06 and 117,433,152,064.70 is: 176,149,728,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,433,152,064.70 : 176,149,728,097.06 = 117,433,152,064.70 : x
  2. Step 2: Convert to fraction form
    117,433,152,064.70/176,149,728,097.06 = 117,433,152,064.70/x
  3. Step 3: Cross multiply
    117,433,152,064.70x = 176,149,728,097.06 × 117,433,152,064.70
  4. Step 4: Simplify right side
    117,433,152,064.70x = 20,685,817,805,777,605,230,592
  5. Step 5: Solve for x
    x = 20,685,817,805,777,605,230,592/117,433,152,064.70
  6. Step 6: Final answer
    x = 176,149,728,097.06

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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.