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Finding the Fourth Proportional to 9,786,024.10, 14,651,042.54 and 9,786,024.10

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Solution

The fourth proportional to 9,786,024.10, 14,651,042.54 and 9,786,024.10 is: 14,651,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786,024.10 : 14,651,042.54 = 9,786,024.10 : x
  2. Step 2: Convert to fraction form
    9,786,024.10/14,651,042.54 = 9,786,024.10/x
  3. Step 3: Cross multiply
    9,786,024.10x = 14,651,042.54 × 9,786,024.10
  4. Step 4: Simplify right side
    9,786,024.10x = 143,375,455,386,565.19
  5. Step 5: Solve for x
    x = 143,375,455,386,565.19/9,786,024.10
  6. Step 6: Final answer
    x = 14,651,042.54

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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.