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Finding the Fourth Proportional to 5,220,557.70, 7,830,836.55 and 5,220,557.70

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Solution

The fourth proportional to 5,220,557.70, 7,830,836.55 and 5,220,557.70 is: 7,830,836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220,557.70 : 7,830,836.55 = 5,220,557.70 : x
  2. Step 2: Convert to fraction form
    5,220,557.70/7,830,836.55 = 5,220,557.70/x
  3. Step 3: Cross multiply
    5,220,557.70x = 7,830,836.55 × 5,220,557.70
  4. Step 4: Simplify right side
    5,220,557.70x = 40,881,334,048,543.94
  5. Step 5: Solve for x
    x = 40,881,334,048,543.94/5,220,557.70
  6. Step 6: Final answer
    x = 7,830,836.55

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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.