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Finding the Fourth Proportional to 77,696,005.30, 108,572,853.50 and 77,696,005.30

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Solution

The fourth proportional to 77,696,005.30, 108,572,853.50 and 77,696,005.30 is: 108,572,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,696,005.30 : 108,572,853.50 = 77,696,005.30 : x
  2. Step 2: Convert to fraction form
    77,696,005.30/108,572,853.50 = 77,696,005.30/x
  3. Step 3: Cross multiply
    77,696,005.30x = 108,572,853.50 × 77,696,005.30
  4. Step 4: Simplify right side
    77,696,005.30x = 8,435,677,000,972,123
  5. Step 5: Solve for x
    x = 8,435,677,000,972,123/77,696,005.30
  6. Step 6: Final answer
    x = 108,572,853.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.