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Finding the Fourth Proportional to 9,785,743.30, 14,678,614.95 and 9,785,743.30

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Solution

The fourth proportional to 9,785,743.30, 14,678,614.95 and 9,785,743.30 is: 14,678,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785,743.30 : 14,678,614.95 = 9,785,743.30 : x
  2. Step 2: Convert to fraction form
    9,785,743.30/14,678,614.95 = 9,785,743.30/x
  3. Step 3: Cross multiply
    9,785,743.30x = 14,678,614.95 × 9,785,743.30
  4. Step 4: Simplify right side
    9,785,743.30x = 143,641,157,900,242.34
  5. Step 5: Solve for x
    x = 143,641,157,900,242.34/9,785,743.30
  6. Step 6: Final answer
    x = 14,678,614.95

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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.