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Finding the Fourth Proportional to 6,935,455.20, 9,687,242.40 and 6,935,455.20

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Solution

The fourth proportional to 6,935,455.20, 9,687,242.40 and 6,935,455.20 is: 9,687,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935,455.20 : 9,687,242.40 = 6,935,455.20 : x
  2. Step 2: Convert to fraction form
    6,935,455.20/9,687,242.40 = 6,935,455.20/x
  3. Step 3: Cross multiply
    6,935,455.20x = 9,687,242.40 × 6,935,455.20
  4. Step 4: Simplify right side
    6,935,455.20x = 67,185,435,676,740.48
  5. Step 5: Solve for x
    x = 67,185,435,676,740.48/6,935,455.20
  6. Step 6: Final answer
    x = 9,687,242.40

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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.