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Finding the Fourth Proportional to 7,443,661.90, 10,442,384.30 and 7,443,661.90

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Solution

The fourth proportional to 7,443,661.90, 10,442,384.30 and 7,443,661.90 is: 10,442,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443,661.90 : 10,442,384.30 = 7,443,661.90 : x
  2. Step 2: Convert to fraction form
    7,443,661.90/10,442,384.30 = 7,443,661.90/x
  3. Step 3: Cross multiply
    7,443,661.90x = 10,442,384.30 × 7,443,661.90
  4. Step 4: Simplify right side
    7,443,661.90x = 77,729,578,159,068.17
  5. Step 5: Solve for x
    x = 77,729,578,159,068.17/7,443,661.90
  6. Step 6: Final answer
    x = 10,442,384.30

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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.