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Finding the Fourth Proportional to 7,830,052.78, 10,973,271.33 and 7,830,052.78

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Solution

The fourth proportional to 7,830,052.78, 10,973,271.33 and 7,830,052.78 is: 10,973,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830,052.78 : 10,973,271.33 = 7,830,052.78 : x
  2. Step 2: Convert to fraction form
    7,830,052.78/10,973,271.33 = 7,830,052.78/x
  3. Step 3: Cross multiply
    7,830,052.78x = 10,973,271.33 × 7,830,052.78
  4. Step 4: Simplify right side
    7,830,052.78x = 85,921,293,589,144.17
  5. Step 5: Solve for x
    x = 85,921,293,589,144.17/7,830,052.78
  6. Step 6: Final answer
    x = 10,973,271.33

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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.