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Finding the Fourth Proportional to 9,742,502.40, 13,669,363.20 and 9,742,502.40

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Solution

The fourth proportional to 9,742,502.40, 13,669,363.20 and 9,742,502.40 is: 13,669,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742,502.40 : 13,669,363.20 = 9,742,502.40 : x
  2. Step 2: Convert to fraction form
    9,742,502.40/13,669,363.20 = 9,742,502.40/x
  3. Step 3: Cross multiply
    9,742,502.40x = 13,669,363.20 × 9,742,502.40
  4. Step 4: Simplify right side
    9,742,502.40x = 133,173,803,782,471.67
  5. Step 5: Solve for x
    x = 133,173,803,782,471.67/9,742,502.40
  6. Step 6: Final answer
    x = 13,669,363.20

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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.