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Finding the Fourth Proportional to 9,966,575.90, 13,962,654.10 and 9,966,575.90

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Solution

The fourth proportional to 9,966,575.90, 13,962,654.10 and 9,966,575.90 is: 13,962,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966,575.90 : 13,962,654.10 = 9,966,575.90 : x
  2. Step 2: Convert to fraction form
    9,966,575.90/13,962,654.10 = 9,966,575.90/x
  3. Step 3: Cross multiply
    9,966,575.90x = 13,962,654.10 × 9,966,575.90
  4. Step 4: Simplify right side
    9,966,575.90x = 139,159,851,853,096.19
  5. Step 5: Solve for x
    x = 139,159,851,853,096.19/9,966,575.90
  6. Step 6: Final answer
    x = 13,962,654.10

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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.