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Finding the Fourth Proportional to 78,344,530.30, 109,795,716.50 and 78,344,530.30

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Solution

The fourth proportional to 78,344,530.30, 109,795,716.50 and 78,344,530.30 is: 109,795,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,344,530.30 : 109,795,716.50 = 78,344,530.30 : x
  2. Step 2: Convert to fraction form
    78,344,530.30/109,795,716.50 = 78,344,530.30/x
  3. Step 3: Cross multiply
    78,344,530.30x = 109,795,716.50 × 78,344,530.30
  4. Step 4: Simplify right side
    78,344,530.30x = 8,601,893,838,144,460
  5. Step 5: Solve for x
    x = 8,601,893,838,144,460/78,344,530.30
  6. Step 6: Final answer
    x = 109,795,716.50

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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.