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Finding the Fourth Proportional to 52,558,985.80, 78,838,478.70 and 52,558,985.80

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Solution

The fourth proportional to 52,558,985.80, 78,838,478.70 and 52,558,985.80 is: 78,838,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,558,985.80 : 78,838,478.70 = 52,558,985.80 : x
  2. Step 2: Convert to fraction form
    52,558,985.80/78,838,478.70 = 52,558,985.80/x
  3. Step 3: Cross multiply
    52,558,985.80x = 78,838,478.70 × 52,558,985.80
  4. Step 4: Simplify right side
    52,558,985.80x = 4,143,670,482,486,902.50
  5. Step 5: Solve for x
    x = 4,143,670,482,486,902.50/52,558,985.80
  6. Step 6: Final answer
    x = 78,838,478.70

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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.