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Finding the Fourth Proportional to 7,443,568.90, 10,442,254.10 and 7,443,568.90

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Solution

The fourth proportional to 7,443,568.90, 10,442,254.10 and 7,443,568.90 is: 10,442,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443,568.90 : 10,442,254.10 = 7,443,568.90 : x
  2. Step 2: Convert to fraction form
    7,443,568.90/10,442,254.10 = 7,443,568.90/x
  3. Step 3: Cross multiply
    7,443,568.90x = 10,442,254.10 × 7,443,568.90
  4. Step 4: Simplify right side
    7,443,568.90x = 77,727,637,864,657.48
  5. Step 5: Solve for x
    x = 77,727,637,864,657.48/7,443,568.90
  6. Step 6: Final answer
    x = 10,442,254.10

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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.