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Finding the Fourth Proportional to 52,638,511.60, 78,816,049.80 and 52,638,511.60

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Solution

The fourth proportional to 52,638,511.60, 78,816,049.80 and 52,638,511.60 is: 78,816,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,638,511.60 : 78,816,049.80 = 52,638,511.60 : x
  2. Step 2: Convert to fraction form
    52,638,511.60/78,816,049.80 = 52,638,511.60/x
  3. Step 3: Cross multiply
    52,638,511.60x = 78,816,049.80 × 52,638,511.60
  4. Step 4: Simplify right side
    52,638,511.60x = 4,148,759,551,663,477.50
  5. Step 5: Solve for x
    x = 4,148,759,551,663,477.50/52,638,511.60
  6. Step 6: Final answer
    x = 78,816,049.80

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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.