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Finding the Fourth Proportional to 9,966,138.30, 14,922,635.40 and 9,966,138.30

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Solution

The fourth proportional to 9,966,138.30, 14,922,635.40 and 9,966,138.30 is: 14,922,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966,138.30 : 14,922,635.40 = 9,966,138.30 : x
  2. Step 2: Convert to fraction form
    9,966,138.30/14,922,635.40 = 9,966,138.30/x
  3. Step 3: Cross multiply
    9,966,138.30x = 14,922,635.40 × 9,966,138.30
  4. Step 4: Simplify right side
    9,966,138.30x = 148,721,048,196,875.84
  5. Step 5: Solve for x
    x = 148,721,048,196,875.84/9,966,138.30
  6. Step 6: Final answer
    x = 14,922,635.40

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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.